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Finding the Fourth Proportional to 57.47, 86.73 and 57.02

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Solution

The fourth proportional to 57.47, 86.73 and 57.02 is: 86.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 86.73 = 57.02 : x
  2. Step 2: Convert to fraction form
    57.47/86.73 = 57.02/x
  3. Step 3: Cross multiply
    57.47x = 86.73 × 57.02
  4. Step 4: Simplify right side
    57.47x = 4,945.06
  5. Step 5: Solve for x
    x = 4,945.06/57.47
  6. Step 6: Final answer
    x = 86.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.