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Finding the Fourth Proportional to 985.74, 1,479.12 and 677.85

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Solution

The fourth proportional to 985.74, 1,479.12 and 677.85 is: 1,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.74 : 1,479.12 = 677.85 : x
  2. Step 2: Convert to fraction form
    985.74/1,479.12 = 677.85/x
  3. Step 3: Cross multiply
    985.74x = 1,479.12 × 677.85
  4. Step 4: Simplify right side
    985.74x = 1,002,621.49
  5. Step 5: Solve for x
    x = 1,002,621.49/985.74
  6. Step 6: Final answer
    x = 1,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.