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Finding the Fourth Proportional to 61.57, 91.69 and 60.04

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Solution

The fourth proportional to 61.57, 91.69 and 60.04 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 91.69 = 60.04 : x
  2. Step 2: Convert to fraction form
    61.57/91.69 = 60.04/x
  3. Step 3: Cross multiply
    61.57x = 91.69 × 60.04
  4. Step 4: Simplify right side
    61.57x = 5,505.07
  5. Step 5: Solve for x
    x = 5,505.07/61.57
  6. Step 6: Final answer
    x = 89.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.