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Finding the Fourth Proportional to 477.05, 658.13 and 353.01

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Solution

The fourth proportional to 477.05, 658.13 and 353.01 is: 487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.05 : 658.13 = 353.01 : x
  2. Step 2: Convert to fraction form
    477.05/658.13 = 353.01/x
  3. Step 3: Cross multiply
    477.05x = 658.13 × 353.01
  4. Step 4: Simplify right side
    477.05x = 232,324.71
  5. Step 5: Solve for x
    x = 232,324.71/477.05
  6. Step 6: Final answer
    x = 487.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.