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Finding the Fourth Proportional to 959.73, 1,323.95 and 566.50

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Solution

The fourth proportional to 959.73, 1,323.95 and 566.50 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.73 : 1,323.95 = 566.50 : x
  2. Step 2: Convert to fraction form
    959.73/1,323.95 = 566.50/x
  3. Step 3: Cross multiply
    959.73x = 1,323.95 × 566.50
  4. Step 4: Simplify right side
    959.73x = 750,017.68
  5. Step 5: Solve for x
    x = 750,017.68/959.73
  6. Step 6: Final answer
    x = 781.49

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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.