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Finding the Fourth Proportional to 57.04, 84.86 and 56.85

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Solution

The fourth proportional to 57.04, 84.86 and 56.85 is: 84.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.04 : 84.86 = 56.85 : x
  2. Step 2: Convert to fraction form
    57.04/84.86 = 56.85/x
  3. Step 3: Cross multiply
    57.04x = 84.86 × 56.85
  4. Step 4: Simplify right side
    57.04x = 4,824.29
  5. Step 5: Solve for x
    x = 4,824.29/57.04
  6. Step 6: Final answer
    x = 84.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.