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Finding the Fourth Proportional to 57.39, 78.72 and 53.90

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Solution

The fourth proportional to 57.39, 78.72 and 53.90 is: 73.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.39 : 78.72 = 53.90 : x
  2. Step 2: Convert to fraction form
    57.39/78.72 = 53.90/x
  3. Step 3: Cross multiply
    57.39x = 78.72 × 53.90
  4. Step 4: Simplify right side
    57.39x = 4,242.61
  5. Step 5: Solve for x
    x = 4,242.61/57.39
  6. Step 6: Final answer
    x = 73.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.