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Finding the Fourth Proportional to 839.82, 1,254.07 and 686.05

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Solution

The fourth proportional to 839.82, 1,254.07 and 686.05 is: 1,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.82 : 1,254.07 = 686.05 : x
  2. Step 2: Convert to fraction form
    839.82/1,254.07 = 686.05/x
  3. Step 3: Cross multiply
    839.82x = 1,254.07 × 686.05
  4. Step 4: Simplify right side
    839.82x = 860,354.72
  5. Step 5: Solve for x
    x = 860,354.72/839.82
  6. Step 6: Final answer
    x = 1,024.45

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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.