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Finding the Fourth Proportional to 57.06, 78.54 and 52.94

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Solution

The fourth proportional to 57.06, 78.54 and 52.94 is: 72.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.06 : 78.54 = 52.94 : x
  2. Step 2: Convert to fraction form
    57.06/78.54 = 52.94/x
  3. Step 3: Cross multiply
    57.06x = 78.54 × 52.94
  4. Step 4: Simplify right side
    57.06x = 4,157.91
  5. Step 5: Solve for x
    x = 4,157.91/57.06
  6. Step 6: Final answer
    x = 72.87

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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.