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Finding the Fourth Proportional to 56.92, 78.02 and 56.20

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Solution

The fourth proportional to 56.92, 78.02 and 56.20 is: 77.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.92 : 78.02 = 56.20 : x
  2. Step 2: Convert to fraction form
    56.92/78.02 = 56.20/x
  3. Step 3: Cross multiply
    56.92x = 78.02 × 56.20
  4. Step 4: Simplify right side
    56.92x = 4,384.72
  5. Step 5: Solve for x
    x = 4,384.72/56.92
  6. Step 6: Final answer
    x = 77.03

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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.