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Finding the Fourth Proportional to 781.58, 1,079.45 and 532.46

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Solution

The fourth proportional to 781.58, 1,079.45 and 532.46 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.58 : 1,079.45 = 532.46 : x
  2. Step 2: Convert to fraction form
    781.58/1,079.45 = 532.46/x
  3. Step 3: Cross multiply
    781.58x = 1,079.45 × 532.46
  4. Step 4: Simplify right side
    781.58x = 574,755.89
  5. Step 5: Solve for x
    x = 574,755.89/781.58
  6. Step 6: Final answer
    x = 735.38

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1.5x scale

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.