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Finding the Fourth Proportional to 63.48, 87.66 and 56.91

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Solution

The fourth proportional to 63.48, 87.66 and 56.91 is: 78.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.48 : 87.66 = 56.91 : x
  2. Step 2: Convert to fraction form
    63.48/87.66 = 56.91/x
  3. Step 3: Cross multiply
    63.48x = 87.66 × 56.91
  4. Step 4: Simplify right side
    63.48x = 4,989.06
  5. Step 5: Solve for x
    x = 4,989.06/63.48
  6. Step 6: Final answer
    x = 78.59

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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.