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Finding the Fourth Proportional to 782.95, 1,080.10 and 503.10

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Solution

The fourth proportional to 782.95, 1,080.10 and 503.10 is: 694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.95 : 1,080.10 = 503.10 : x
  2. Step 2: Convert to fraction form
    782.95/1,080.10 = 503.10/x
  3. Step 3: Cross multiply
    782.95x = 1,080.10 × 503.10
  4. Step 4: Simplify right side
    782.95x = 543,398.31
  5. Step 5: Solve for x
    x = 543,398.31/782.95
  6. Step 6: Final answer
    x = 694.04

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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.