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Finding the Fourth Proportional to 930.29, 1,283.85 and 531.97

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Solution

The fourth proportional to 930.29, 1,283.85 and 531.97 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.29 : 1,283.85 = 531.97 : x
  2. Step 2: Convert to fraction form
    930.29/1,283.85 = 531.97/x
  3. Step 3: Cross multiply
    930.29x = 1,283.85 × 531.97
  4. Step 4: Simplify right side
    930.29x = 682,966.47
  5. Step 5: Solve for x
    x = 682,966.47/930.29
  6. Step 6: Final answer
    x = 734.15

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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.