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Finding the Fourth Proportional to 473.78, 652.01 and 408.17

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Solution

The fourth proportional to 473.78, 652.01 and 408.17 is: 561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 652.01 = 408.17 : x
  2. Step 2: Convert to fraction form
    473.78/652.01 = 408.17/x
  3. Step 3: Cross multiply
    473.78x = 652.01 × 408.17
  4. Step 4: Simplify right side
    473.78x = 266,125.62
  5. Step 5: Solve for x
    x = 266,125.62/473.78
  6. Step 6: Final answer
    x = 561.71

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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.