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Finding the Fourth Proportional to 56.55, 77.85 and 47.37

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Solution

The fourth proportional to 56.55, 77.85 and 47.37 is: 65.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.55 : 77.85 = 47.37 : x
  2. Step 2: Convert to fraction form
    56.55/77.85 = 47.37/x
  3. Step 3: Cross multiply
    56.55x = 77.85 × 47.37
  4. Step 4: Simplify right side
    56.55x = 3,687.75
  5. Step 5: Solve for x
    x = 3,687.75/56.55
  6. Step 6: Final answer
    x = 65.21

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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.