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Finding the Fourth Proportional to 627.11, 864.88 and 470.11

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Solution

The fourth proportional to 627.11, 864.88 and 470.11 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.11 : 864.88 = 470.11 : x
  2. Step 2: Convert to fraction form
    627.11/864.88 = 470.11/x
  3. Step 3: Cross multiply
    627.11x = 864.88 × 470.11
  4. Step 4: Simplify right side
    627.11x = 406,587.16
  5. Step 5: Solve for x
    x = 406,587.16/627.11
  6. Step 6: Final answer
    x = 648.35

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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.