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Finding the Fourth Proportional to 959.64, 1,432.94 and 762.42

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Solution

The fourth proportional to 959.64, 1,432.94 and 762.42 is: 1,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.64 : 1,432.94 = 762.42 : x
  2. Step 2: Convert to fraction form
    959.64/1,432.94 = 762.42/x
  3. Step 3: Cross multiply
    959.64x = 1,432.94 × 762.42
  4. Step 4: Simplify right side
    959.64x = 1,092,502.11
  5. Step 5: Solve for x
    x = 1,092,502.11/959.64
  6. Step 6: Final answer
    x = 1,138.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.