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Finding the Fourth Proportional to 933.92, 1,398.60 and 702.56

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Solution

The fourth proportional to 933.92, 1,398.60 and 702.56 is: 1,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.92 : 1,398.60 = 702.56 : x
  2. Step 2: Convert to fraction form
    933.92/1,398.60 = 702.56/x
  3. Step 3: Cross multiply
    933.92x = 1,398.60 × 702.56
  4. Step 4: Simplify right side
    933.92x = 982,600.42
  5. Step 5: Solve for x
    x = 982,600.42/933.92
  6. Step 6: Final answer
    x = 1,052.12

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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.