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Finding the Fourth Proportional to 765.16, 1,056.42 and 503.62

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Solution

The fourth proportional to 765.16, 1,056.42 and 503.62 is: 695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.16 : 1,056.42 = 503.62 : x
  2. Step 2: Convert to fraction form
    765.16/1,056.42 = 503.62/x
  3. Step 3: Cross multiply
    765.16x = 1,056.42 × 503.62
  4. Step 4: Simplify right side
    765.16x = 532,034.24
  5. Step 5: Solve for x
    x = 532,034.24/765.16
  6. Step 6: Final answer
    x = 695.32

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Double scale
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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.