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Finding the Fourth Proportional to 782.61, 1,077.68 and 561.18

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Solution

The fourth proportional to 782.61, 1,077.68 and 561.18 is: 772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.61 : 1,077.68 = 561.18 : x
  2. Step 2: Convert to fraction form
    782.61/1,077.68 = 561.18/x
  3. Step 3: Cross multiply
    782.61x = 1,077.68 × 561.18
  4. Step 4: Simplify right side
    782.61x = 604,772.46
  5. Step 5: Solve for x
    x = 604,772.46/782.61
  6. Step 6: Final answer
    x = 772.76

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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.