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Finding the Fourth Proportional to 58.70, 80.96 and 47.03

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Solution

The fourth proportional to 58.70, 80.96 and 47.03 is: 64.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.70 : 80.96 = 47.03 : x
  2. Step 2: Convert to fraction form
    58.70/80.96 = 47.03/x
  3. Step 3: Cross multiply
    58.70x = 80.96 × 47.03
  4. Step 4: Simplify right side
    58.70x = 3,806.91
  5. Step 5: Solve for x
    x = 3,806.91/58.70
  6. Step 6: Final answer
    x = 64.86

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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.