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Finding the Fourth Proportional to 84.59, 127.58 and 74.57

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Solution

The fourth proportional to 84.59, 127.58 and 74.57 is: 112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.59 : 127.58 = 74.57 : x
  2. Step 2: Convert to fraction form
    84.59/127.58 = 74.57/x
  3. Step 3: Cross multiply
    84.59x = 127.58 × 74.57
  4. Step 4: Simplify right side
    84.59x = 9,513.35
  5. Step 5: Solve for x
    x = 9,513.35/84.59
  6. Step 6: Final answer
    x = 112.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.