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Finding the Fourth Proportional to 417.07, 628.42 and 372.85

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Solution

The fourth proportional to 417.07, 628.42 and 372.85 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.07 : 628.42 = 372.85 : x
  2. Step 2: Convert to fraction form
    417.07/628.42 = 372.85/x
  3. Step 3: Cross multiply
    417.07x = 628.42 × 372.85
  4. Step 4: Simplify right side
    417.07x = 234,306.40
  5. Step 5: Solve for x
    x = 234,306.40/417.07
  6. Step 6: Final answer
    x = 561.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.