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Finding the Fourth Proportional to 63.12, 87 and 45.64

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Solution

The fourth proportional to 63.12, 87 and 45.64 is: 62.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.12 : 87 = 45.64 : x
  2. Step 2: Convert to fraction form
    63.12/87 = 45.64/x
  3. Step 3: Cross multiply
    63.12x = 87 × 45.64
  4. Step 4: Simplify right side
    63.12x = 3,970.68
  5. Step 5: Solve for x
    x = 3,970.68/63.12
  6. Step 6: Final answer
    x = 62.91

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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.