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Finding the Fourth Proportional to 840.67, 1,160.12 and 462.56

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Solution

The fourth proportional to 840.67, 1,160.12 and 462.56 is: 638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.67 : 1,160.12 = 462.56 : x
  2. Step 2: Convert to fraction form
    840.67/1,160.12 = 462.56/x
  3. Step 3: Cross multiply
    840.67x = 1,160.12 × 462.56
  4. Step 4: Simplify right side
    840.67x = 536,625.11
  5. Step 5: Solve for x
    x = 536,625.11/840.67
  6. Step 6: Final answer
    x = 638.33

Related Problems

Find fourth proportional to 420.34, 580.06 and 231.28
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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.