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Finding the Fourth Proportional to 1,331.71, 1,997.57 and 509.95

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Solution

The fourth proportional to 1,331.71, 1,997.57 and 509.95 is: 764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.71 : 1,997.57 = 509.95 : x
  2. Step 2: Convert to fraction form
    1,331.71/1,997.57 = 509.95/x
  3. Step 3: Cross multiply
    1,331.71x = 1,997.57 × 509.95
  4. Step 4: Simplify right side
    1,331.71x = 1,018,660.82
  5. Step 5: Solve for x
    x = 1,018,660.82/1,331.71
  6. Step 6: Final answer
    x = 764.93

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Double scale
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Similar ratio
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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.