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Finding the Fourth Proportional to 476.55, 710.92 and 463.32

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Solution

The fourth proportional to 476.55, 710.92 and 463.32 is: 691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.55 : 710.92 = 463.32 : x
  2. Step 2: Convert to fraction form
    476.55/710.92 = 463.32/x
  3. Step 3: Cross multiply
    476.55x = 710.92 × 463.32
  4. Step 4: Simplify right side
    476.55x = 329,383.45
  5. Step 5: Solve for x
    x = 329,383.45/476.55
  6. Step 6: Final answer
    x = 691.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.