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Finding the Fourth Proportional to 61.46, 85.25 and 56.90

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Solution

The fourth proportional to 61.46, 85.25 and 56.90 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.46 : 85.25 = 56.90 : x
  2. Step 2: Convert to fraction form
    61.46/85.25 = 56.90/x
  3. Step 3: Cross multiply
    61.46x = 85.25 × 56.90
  4. Step 4: Simplify right side
    61.46x = 4,851.08
  5. Step 5: Solve for x
    x = 4,851.08/61.46
  6. Step 6: Final answer
    x = 78.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.