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Finding the Fourth Proportional to 476.96, 711.72 and 458.24

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Solution

The fourth proportional to 476.96, 711.72 and 458.24 is: 683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.96 : 711.72 = 458.24 : x
  2. Step 2: Convert to fraction form
    476.96/711.72 = 458.24/x
  3. Step 3: Cross multiply
    476.96x = 711.72 × 458.24
  4. Step 4: Simplify right side
    476.96x = 326,138.57
  5. Step 5: Solve for x
    x = 326,138.57/476.96
  6. Step 6: Final answer
    x = 683.79

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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.