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Finding the Fourth Proportional to 56.42, 77.67 and 47.19

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Solution

The fourth proportional to 56.42, 77.67 and 47.19 is: 64.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 77.67 = 47.19 : x
  2. Step 2: Convert to fraction form
    56.42/77.67 = 47.19/x
  3. Step 3: Cross multiply
    56.42x = 77.67 × 47.19
  4. Step 4: Simplify right side
    56.42x = 3,665.25
  5. Step 5: Solve for x
    x = 3,665.25/56.42
  6. Step 6: Final answer
    x = 64.96

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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.