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Finding the Fourth Proportional to 58.40, 87.50 and 54.59

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Solution

The fourth proportional to 58.40, 87.50 and 54.59 is: 81.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.40 : 87.50 = 54.59 : x
  2. Step 2: Convert to fraction form
    58.40/87.50 = 54.59/x
  3. Step 3: Cross multiply
    58.40x = 87.50 × 54.59
  4. Step 4: Simplify right side
    58.40x = 4,775.91
  5. Step 5: Solve for x
    x = 4,775.91/58.40
  6. Step 6: Final answer
    x = 81.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.