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Finding the Fourth Proportional to 472.28, 704.11 and 460.29

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Solution

The fourth proportional to 472.28, 704.11 and 460.29 is: 686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.28 : 704.11 = 460.29 : x
  2. Step 2: Convert to fraction form
    472.28/704.11 = 460.29/x
  3. Step 3: Cross multiply
    472.28x = 704.11 × 460.29
  4. Step 4: Simplify right side
    472.28x = 324,098.01
  5. Step 5: Solve for x
    x = 324,098.01/472.28
  6. Step 6: Final answer
    x = 686.24

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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.