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Finding the Fourth Proportional to 61.57, 84.91 and 56.05

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Solution

The fourth proportional to 61.57, 84.91 and 56.05 is: 77.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 84.91 = 56.05 : x
  2. Step 2: Convert to fraction form
    61.57/84.91 = 56.05/x
  3. Step 3: Cross multiply
    61.57x = 84.91 × 56.05
  4. Step 4: Simplify right side
    61.57x = 4,758.93
  5. Step 5: Solve for x
    x = 4,758.93/61.57
  6. Step 6: Final answer
    x = 77.30

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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.