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Finding the Fourth Proportional to 61.24, 83.96 and 56.48

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Solution

The fourth proportional to 61.24, 83.96 and 56.48 is: 77.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.24 : 83.96 = 56.48 : x
  2. Step 2: Convert to fraction form
    61.24/83.96 = 56.48/x
  3. Step 3: Cross multiply
    61.24x = 83.96 × 56.48
  4. Step 4: Simplify right side
    61.24x = 4,742.06
  5. Step 5: Solve for x
    x = 4,742.06/61.24
  6. Step 6: Final answer
    x = 77.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.