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Finding the Fourth Proportional to 52.73, 78.55 and 49.63

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Solution

The fourth proportional to 52.73, 78.55 and 49.63 is: 73.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.73 : 78.55 = 49.63 : x
  2. Step 2: Convert to fraction form
    52.73/78.55 = 49.63/x
  3. Step 3: Cross multiply
    52.73x = 78.55 × 49.63
  4. Step 4: Simplify right side
    52.73x = 3,898.44
  5. Step 5: Solve for x
    x = 3,898.44/52.73
  6. Step 6: Final answer
    x = 73.93

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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.