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Finding the Fourth Proportional to 451.52, 677.57 and 417.71

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Solution

The fourth proportional to 451.52, 677.57 and 417.71 is: 626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 677.57 = 417.71 : x
  2. Step 2: Convert to fraction form
    451.52/677.57 = 417.71/x
  3. Step 3: Cross multiply
    451.52x = 677.57 × 417.71
  4. Step 4: Simplify right side
    451.52x = 283,027.76
  5. Step 5: Solve for x
    x = 283,027.76/451.52
  6. Step 6: Final answer
    x = 626.83

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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.