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Finding the Fourth Proportional to 713.12, 1,067.65 and 468.90

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Solution

The fourth proportional to 713.12, 1,067.65 and 468.90 is: 702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 1,067.65 = 468.90 : x
  2. Step 2: Convert to fraction form
    713.12/1,067.65 = 468.90/x
  3. Step 3: Cross multiply
    713.12x = 1,067.65 × 468.90
  4. Step 4: Simplify right side
    713.12x = 500,619.91
  5. Step 5: Solve for x
    x = 500,619.91/713.12
  6. Step 6: Final answer
    x = 702.02

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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.