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Finding the Fourth Proportional to 782.92, 1,174.92 and 578.02

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Solution

The fourth proportional to 782.92, 1,174.92 and 578.02 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.92 : 1,174.92 = 578.02 : x
  2. Step 2: Convert to fraction form
    782.92/1,174.92 = 578.02/x
  3. Step 3: Cross multiply
    782.92x = 1,174.92 × 578.02
  4. Step 4: Simplify right side
    782.92x = 679,127.26
  5. Step 5: Solve for x
    x = 679,127.26/782.92
  6. Step 6: Final answer
    x = 867.43

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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.