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Finding the Fourth Proportional to 476.80, 711.29 and 463.57

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Solution

The fourth proportional to 476.80, 711.29 and 463.57 is: 691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.80 : 711.29 = 463.57 : x
  2. Step 2: Convert to fraction form
    476.80/711.29 = 463.57/x
  3. Step 3: Cross multiply
    476.80x = 711.29 × 463.57
  4. Step 4: Simplify right side
    476.80x = 329,732.71
  5. Step 5: Solve for x
    x = 329,732.71/476.80
  6. Step 6: Final answer
    x = 691.55

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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.