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Finding the Fourth Proportional to 57.02, 84.80 and 56.31

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Solution

The fourth proportional to 57.02, 84.80 and 56.31 is: 83.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 84.80 = 56.31 : x
  2. Step 2: Convert to fraction form
    57.02/84.80 = 56.31/x
  3. Step 3: Cross multiply
    57.02x = 84.80 × 56.31
  4. Step 4: Simplify right side
    57.02x = 4,774.91
  5. Step 5: Solve for x
    x = 4,774.91/57.02
  6. Step 6: Final answer
    x = 83.75

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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.