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Finding the Fourth Proportional to 476.35, 714.72 and 457.72

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Solution

The fourth proportional to 476.35, 714.72 and 457.72 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.35 : 714.72 = 457.72 : x
  2. Step 2: Convert to fraction form
    476.35/714.72 = 457.72/x
  3. Step 3: Cross multiply
    476.35x = 714.72 × 457.72
  4. Step 4: Simplify right side
    476.35x = 327,141.57
  5. Step 5: Solve for x
    x = 327,141.57/476.35
  6. Step 6: Final answer
    x = 686.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.