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Finding the Fourth Proportional to 781.04, 1,077.88 and 532.84

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Solution

The fourth proportional to 781.04, 1,077.88 and 532.84 is: 735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.04 : 1,077.88 = 532.84 : x
  2. Step 2: Convert to fraction form
    781.04/1,077.88 = 532.84/x
  3. Step 3: Cross multiply
    781.04x = 1,077.88 × 532.84
  4. Step 4: Simplify right side
    781.04x = 574,337.58
  5. Step 5: Solve for x
    x = 574,337.58/781.04
  6. Step 6: Final answer
    x = 735.35

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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.