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Finding the Fourth Proportional to 71.52, 98.77 and 71.39

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Solution

The fourth proportional to 71.52, 98.77 and 71.39 is: 98.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.52 : 98.77 = 71.39 : x
  2. Step 2: Convert to fraction form
    71.52/98.77 = 71.39/x
  3. Step 3: Cross multiply
    71.52x = 98.77 × 71.39
  4. Step 4: Simplify right side
    71.52x = 7,051.19
  5. Step 5: Solve for x
    x = 7,051.19/71.52
  6. Step 6: Final answer
    x = 98.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.