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Finding the Fourth Proportional to 1,101.59, 1,652.39 and 642.58

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Solution

The fourth proportional to 1,101.59, 1,652.39 and 642.58 is: 963.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.59 : 1,652.39 = 642.58 : x
  2. Step 2: Convert to fraction form
    1,101.59/1,652.39 = 642.58/x
  3. Step 3: Cross multiply
    1,101.59x = 1,652.39 × 642.58
  4. Step 4: Simplify right side
    1,101.59x = 1,061,784.73
  5. Step 5: Solve for x
    x = 1,061,784.73/1,101.59
  6. Step 6: Final answer
    x = 963.86

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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.