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Finding the Fourth Proportional to 932.30, 1,403.19 and 702.35

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Solution

The fourth proportional to 932.30, 1,403.19 and 702.35 is: 1,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.30 : 1,403.19 = 702.35 : x
  2. Step 2: Convert to fraction form
    932.30/1,403.19 = 702.35/x
  3. Step 3: Cross multiply
    932.30x = 1,403.19 × 702.35
  4. Step 4: Simplify right side
    932.30x = 985,526.98
  5. Step 5: Solve for x
    x = 985,526.98/932.30
  6. Step 6: Final answer
    x = 1,057.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.