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Finding the Fourth Proportional to 839.87, 1,254.14 and 686.10

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Solution

The fourth proportional to 839.87, 1,254.14 and 686.10 is: 1,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.87 : 1,254.14 = 686.10 : x
  2. Step 2: Convert to fraction form
    839.87/1,254.14 = 686.10/x
  3. Step 3: Cross multiply
    839.87x = 1,254.14 × 686.10
  4. Step 4: Simplify right side
    839.87x = 860,459.18
  5. Step 5: Solve for x
    x = 860,459.18/839.87
  6. Step 6: Final answer
    x = 1,024.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.