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Finding the Fourth Proportional to 52.89, 78.96 and 49.83

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Solution

The fourth proportional to 52.89, 78.96 and 49.83 is: 74.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.89 : 78.96 = 49.83 : x
  2. Step 2: Convert to fraction form
    52.89/78.96 = 49.83/x
  3. Step 3: Cross multiply
    52.89x = 78.96 × 49.83
  4. Step 4: Simplify right side
    52.89x = 3,934.58
  5. Step 5: Solve for x
    x = 3,934.58/52.89
  6. Step 6: Final answer
    x = 74.39

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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.