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Finding the Fourth Proportional to 71.80, 98.76 and 58.52

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Solution

The fourth proportional to 71.80, 98.76 and 58.52 is: 80.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.80 : 98.76 = 58.52 : x
  2. Step 2: Convert to fraction form
    71.80/98.76 = 58.52/x
  3. Step 3: Cross multiply
    71.80x = 98.76 × 58.52
  4. Step 4: Simplify right side
    71.80x = 5,779.44
  5. Step 5: Solve for x
    x = 5,779.44/71.80
  6. Step 6: Final answer
    x = 80.49

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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.