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Finding the Fourth Proportional to 1,104.14, 1,655.94 and 642.58

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Solution

The fourth proportional to 1,104.14, 1,655.94 and 642.58 is: 963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.14 : 1,655.94 = 642.58 : x
  2. Step 2: Convert to fraction form
    1,104.14/1,655.94 = 642.58/x
  3. Step 3: Cross multiply
    1,104.14x = 1,655.94 × 642.58
  4. Step 4: Simplify right side
    1,104.14x = 1,064,073.93
  5. Step 5: Solve for x
    x = 1,064,073.93/1,104.14
  6. Step 6: Final answer
    x = 963.71

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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.