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Finding the Fourth Proportional to 782.06, 1,077.74 and 560.61

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Solution

The fourth proportional to 782.06, 1,077.74 and 560.61 is: 772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,077.74 = 560.61 : x
  2. Step 2: Convert to fraction form
    782.06/1,077.74 = 560.61/x
  3. Step 3: Cross multiply
    782.06x = 1,077.74 × 560.61
  4. Step 4: Simplify right side
    782.06x = 604,189.02
  5. Step 5: Solve for x
    x = 604,189.02/782.06
  6. Step 6: Final answer
    x = 772.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.