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Finding the Fourth Proportional to 761.57, 1,142.35 and 702.12

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Solution

The fourth proportional to 761.57, 1,142.35 and 702.12 is: 1,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.57 : 1,142.35 = 702.12 : x
  2. Step 2: Convert to fraction form
    761.57/1,142.35 = 702.12/x
  3. Step 3: Cross multiply
    761.57x = 1,142.35 × 702.12
  4. Step 4: Simplify right side
    761.57x = 802,065.03
  5. Step 5: Solve for x
    x = 802,065.03/761.57
  6. Step 6: Final answer
    x = 1,053.18

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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.