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Finding the Fourth Proportional to 782.59, 1,077.23 and 708.78

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Solution

The fourth proportional to 782.59, 1,077.23 and 708.78 is: 975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.59 : 1,077.23 = 708.78 : x
  2. Step 2: Convert to fraction form
    782.59/1,077.23 = 708.78/x
  3. Step 3: Cross multiply
    782.59x = 1,077.23 × 708.78
  4. Step 4: Simplify right side
    782.59x = 763,519.08
  5. Step 5: Solve for x
    x = 763,519.08/782.59
  6. Step 6: Final answer
    x = 975.63

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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.