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Finding the Fourth Proportional to 62.58, 86.32 and 40.78

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Solution

The fourth proportional to 62.58, 86.32 and 40.78 is: 56.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.58 : 86.32 = 40.78 : x
  2. Step 2: Convert to fraction form
    62.58/86.32 = 40.78/x
  3. Step 3: Cross multiply
    62.58x = 86.32 × 40.78
  4. Step 4: Simplify right side
    62.58x = 3,519.81
  5. Step 5: Solve for x
    x = 3,519.81/62.58
  6. Step 6: Final answer
    x = 56.24

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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.