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Finding the Fourth Proportional to 52.57, 78.58 and 47.98

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Solution

The fourth proportional to 52.57, 78.58 and 47.98 is: 71.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 78.58 = 47.98 : x
  2. Step 2: Convert to fraction form
    52.57/78.58 = 47.98/x
  3. Step 3: Cross multiply
    52.57x = 78.58 × 47.98
  4. Step 4: Simplify right side
    52.57x = 3,770.27
  5. Step 5: Solve for x
    x = 3,770.27/52.57
  6. Step 6: Final answer
    x = 71.72

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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.