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Finding the Fourth Proportional to 782.13, 1,172.47 and 294.85

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Solution

The fourth proportional to 782.13, 1,172.47 and 294.85 is: 442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.13 : 1,172.47 = 294.85 : x
  2. Step 2: Convert to fraction form
    782.13/1,172.47 = 294.85/x
  3. Step 3: Cross multiply
    782.13x = 1,172.47 × 294.85
  4. Step 4: Simplify right side
    782.13x = 345,702.78
  5. Step 5: Solve for x
    x = 345,702.78/782.13
  6. Step 6: Final answer
    x = 442.00

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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.