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Finding the Fourth Proportional to 959.97, 1,437.65 and 650.89

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Solution

The fourth proportional to 959.97, 1,437.65 and 650.89 is: 974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.97 : 1,437.65 = 650.89 : x
  2. Step 2: Convert to fraction form
    959.97/1,437.65 = 650.89/x
  3. Step 3: Cross multiply
    959.97x = 1,437.65 × 650.89
  4. Step 4: Simplify right side
    959.97x = 935,752.80
  5. Step 5: Solve for x
    x = 935,752.80/959.97
  6. Step 6: Final answer
    x = 974.77

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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.