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Finding the Fourth Proportional to 1,331.54, 1,997.44 and 510.50

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Solution

The fourth proportional to 1,331.54, 1,997.44 and 510.50 is: 765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.54 : 1,997.44 = 510.50 : x
  2. Step 2: Convert to fraction form
    1,331.54/1,997.44 = 510.50/x
  3. Step 3: Cross multiply
    1,331.54x = 1,997.44 × 510.50
  4. Step 4: Simplify right side
    1,331.54x = 1,019,693.12
  5. Step 5: Solve for x
    x = 1,019,693.12/1,331.54
  6. Step 6: Final answer
    x = 765.80

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.