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Finding the Fourth Proportional to 782.90, 1,078.10 and 699.98

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Solution

The fourth proportional to 782.90, 1,078.10 and 699.98 is: 963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.90 : 1,078.10 = 699.98 : x
  2. Step 2: Convert to fraction form
    782.90/1,078.10 = 699.98/x
  3. Step 3: Cross multiply
    782.90x = 1,078.10 × 699.98
  4. Step 4: Simplify right side
    782.90x = 754,639.55
  5. Step 5: Solve for x
    x = 754,639.55/782.90
  6. Step 6: Final answer
    x = 963.91

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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.