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Finding the Fourth Proportional to 56.72, 84.46 and 56.40

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Solution

The fourth proportional to 56.72, 84.46 and 56.40 is: 83.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.72 : 84.46 = 56.40 : x
  2. Step 2: Convert to fraction form
    56.72/84.46 = 56.40/x
  3. Step 3: Cross multiply
    56.72x = 84.46 × 56.40
  4. Step 4: Simplify right side
    56.72x = 4,763.54
  5. Step 5: Solve for x
    x = 4,763.54/56.72
  6. Step 6: Final answer
    x = 83.98

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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.