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Finding the Fourth Proportional to 959.60, 1,323.84 and 566.56

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Solution

The fourth proportional to 959.60, 1,323.84 and 566.56 is: 781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.60 : 1,323.84 = 566.56 : x
  2. Step 2: Convert to fraction form
    959.60/1,323.84 = 566.56/x
  3. Step 3: Cross multiply
    959.60x = 1,323.84 × 566.56
  4. Step 4: Simplify right side
    959.60x = 750,034.79
  5. Step 5: Solve for x
    x = 750,034.79/959.60
  6. Step 6: Final answer
    x = 781.61

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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.