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Finding the Fourth Proportional to 784.82, 1,177.92 and 702.42

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Solution

The fourth proportional to 784.82, 1,177.92 and 702.42 is: 1,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.82 : 1,177.92 = 702.42 : x
  2. Step 2: Convert to fraction form
    784.82/1,177.92 = 702.42/x
  3. Step 3: Cross multiply
    784.82x = 1,177.92 × 702.42
  4. Step 4: Simplify right side
    784.82x = 827,394.57
  5. Step 5: Solve for x
    x = 827,394.57/784.82
  6. Step 6: Final answer
    x = 1,054.25

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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.