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Finding the Fourth Proportional to 1,612.78, 2,417.31 and 686.95

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Solution

The fourth proportional to 1,612.78, 2,417.31 and 686.95 is: 1,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.78 : 2,417.31 = 686.95 : x
  2. Step 2: Convert to fraction form
    1,612.78/2,417.31 = 686.95/x
  3. Step 3: Cross multiply
    1,612.78x = 2,417.31 × 686.95
  4. Step 4: Simplify right side
    1,612.78x = 1,660,565.06
  5. Step 5: Solve for x
    x = 1,660,565.06/1,612.78
  6. Step 6: Final answer
    x = 1,029.63

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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.