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Finding the Fourth Proportional to 727.70, 1,009.31 and 702.99

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Solution

The fourth proportional to 727.70, 1,009.31 and 702.99 is: 975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.70 : 1,009.31 = 702.99 : x
  2. Step 2: Convert to fraction form
    727.70/1,009.31 = 702.99/x
  3. Step 3: Cross multiply
    727.70x = 1,009.31 × 702.99
  4. Step 4: Simplify right side
    727.70x = 709,531.32
  5. Step 5: Solve for x
    x = 709,531.32/727.70
  6. Step 6: Final answer
    x = 975.04

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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.