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Finding the Fourth Proportional to 57.47, 85.78 and 50.63

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Solution

The fourth proportional to 57.47, 85.78 and 50.63 is: 75.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 85.78 = 50.63 : x
  2. Step 2: Convert to fraction form
    57.47/85.78 = 50.63/x
  3. Step 3: Cross multiply
    57.47x = 85.78 × 50.63
  4. Step 4: Simplify right side
    57.47x = 4,342.79
  5. Step 5: Solve for x
    x = 4,342.79/57.47
  6. Step 6: Final answer
    x = 75.57

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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.