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Finding the Fourth Proportional to 729.48, 1,006.02 and 624.60

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Solution

The fourth proportional to 729.48, 1,006.02 and 624.60 is: 861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.48 : 1,006.02 = 624.60 : x
  2. Step 2: Convert to fraction form
    729.48/1,006.02 = 624.60/x
  3. Step 3: Cross multiply
    729.48x = 1,006.02 × 624.60
  4. Step 4: Simplify right side
    729.48x = 628,360.09
  5. Step 5: Solve for x
    x = 628,360.09/729.48
  6. Step 6: Final answer
    x = 861.38

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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.