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Finding the Fourth Proportional to 782.60, 1,077.68 and 561.16

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Solution

The fourth proportional to 782.60, 1,077.68 and 561.16 is: 772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.60 : 1,077.68 = 561.16 : x
  2. Step 2: Convert to fraction form
    782.60/1,077.68 = 561.16/x
  3. Step 3: Cross multiply
    782.60x = 1,077.68 × 561.16
  4. Step 4: Simplify right side
    782.60x = 604,750.91
  5. Step 5: Solve for x
    x = 604,750.91/782.60
  6. Step 6: Final answer
    x = 772.75

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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.