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Finding the Fourth Proportional to 62.72, 86.46 and 56.19

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Solution

The fourth proportional to 62.72, 86.46 and 56.19 is: 77.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.72 : 86.46 = 56.19 : x
  2. Step 2: Convert to fraction form
    62.72/86.46 = 56.19/x
  3. Step 3: Cross multiply
    62.72x = 86.46 × 56.19
  4. Step 4: Simplify right side
    62.72x = 4,858.19
  5. Step 5: Solve for x
    x = 4,858.19/62.72
  6. Step 6: Final answer
    x = 77.46

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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.