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Finding the Fourth Proportional to 729.20, 1,011.45 and 702.93

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Solution

The fourth proportional to 729.20, 1,011.45 and 702.93 is: 975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.20 : 1,011.45 = 702.93 : x
  2. Step 2: Convert to fraction form
    729.20/1,011.45 = 702.93/x
  3. Step 3: Cross multiply
    729.20x = 1,011.45 × 702.93
  4. Step 4: Simplify right side
    729.20x = 710,983.56
  5. Step 5: Solve for x
    x = 710,983.56/729.20
  6. Step 6: Final answer
    x = 975.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.