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Finding the Fourth Proportional to 472.85, 710.42 and 460.16

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Solution

The fourth proportional to 472.85, 710.42 and 460.16 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.85 : 710.42 = 460.16 : x
  2. Step 2: Convert to fraction form
    472.85/710.42 = 460.16/x
  3. Step 3: Cross multiply
    472.85x = 710.42 × 460.16
  4. Step 4: Simplify right side
    472.85x = 326,901.01
  5. Step 5: Solve for x
    x = 326,901.01/472.85
  6. Step 6: Final answer
    x = 691.35

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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.