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Finding the Fourth Proportional to 1,235.58, 1,854.17 and 688.15

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Solution

The fourth proportional to 1,235.58, 1,854.17 and 688.15 is: 1,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.58 : 1,854.17 = 688.15 : x
  2. Step 2: Convert to fraction form
    1,235.58/1,854.17 = 688.15/x
  3. Step 3: Cross multiply
    1,235.58x = 1,854.17 × 688.15
  4. Step 4: Simplify right side
    1,235.58x = 1,275,936.18
  5. Step 5: Solve for x
    x = 1,275,936.18/1,235.58
  6. Step 6: Final answer
    x = 1,032.66

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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.