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Finding the Fourth Proportional to 627.67, 864.93 and 417.61

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Solution

The fourth proportional to 627.67, 864.93 and 417.61 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.67 : 864.93 = 417.61 : x
  2. Step 2: Convert to fraction form
    627.67/864.93 = 417.61/x
  3. Step 3: Cross multiply
    627.67x = 864.93 × 417.61
  4. Step 4: Simplify right side
    627.67x = 361,203.42
  5. Step 5: Solve for x
    x = 361,203.42/627.67
  6. Step 6: Final answer
    x = 575.47

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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.