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Finding the Fourth Proportional to 729.84, 1,002.27 and 624.93

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Solution

The fourth proportional to 729.84, 1,002.27 and 624.93 is: 858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,002.27 = 624.93 : x
  2. Step 2: Convert to fraction form
    729.84/1,002.27 = 624.93/x
  3. Step 3: Cross multiply
    729.84x = 1,002.27 × 624.93
  4. Step 4: Simplify right side
    729.84x = 626,348.59
  5. Step 5: Solve for x
    x = 626,348.59/729.84
  6. Step 6: Final answer
    x = 858.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.