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Finding the Fourth Proportional to 713.40, 1,067.02 and 624.72

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Solution

The fourth proportional to 713.40, 1,067.02 and 624.72 is: 934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.40 : 1,067.02 = 624.72 : x
  2. Step 2: Convert to fraction form
    713.40/1,067.02 = 624.72/x
  3. Step 3: Cross multiply
    713.40x = 1,067.02 × 624.72
  4. Step 4: Simplify right side
    713.40x = 666,588.73
  5. Step 5: Solve for x
    x = 666,588.73/713.40
  6. Step 6: Final answer
    x = 934.38

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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.