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Finding the Fourth Proportional to 52.87, 78.90 and 46.80

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Solution

The fourth proportional to 52.87, 78.90 and 46.80 is: 69.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.87 : 78.90 = 46.80 : x
  2. Step 2: Convert to fraction form
    52.87/78.90 = 46.80/x
  3. Step 3: Cross multiply
    52.87x = 78.90 × 46.80
  4. Step 4: Simplify right side
    52.87x = 3,691.89
  5. Step 5: Solve for x
    x = 3,691.89/52.87
  6. Step 6: Final answer
    x = 69.83

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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.