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Finding the Fourth Proportional to 782.36, 1,077.33 and 560.93

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Solution

The fourth proportional to 782.36, 1,077.33 and 560.93 is: 772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.36 : 1,077.33 = 560.93 : x
  2. Step 2: Convert to fraction form
    782.36/1,077.33 = 560.93/x
  3. Step 3: Cross multiply
    782.36x = 1,077.33 × 560.93
  4. Step 4: Simplify right side
    782.36x = 604,306.72
  5. Step 5: Solve for x
    x = 604,306.72/782.36
  6. Step 6: Final answer
    x = 772.42

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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.