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Finding the Fourth Proportional to 52.24, 77.91 and 46.74

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Solution

The fourth proportional to 52.24, 77.91 and 46.74 is: 69.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 77.91 = 46.74 : x
  2. Step 2: Convert to fraction form
    52.24/77.91 = 46.74/x
  3. Step 3: Cross multiply
    52.24x = 77.91 × 46.74
  4. Step 4: Simplify right side
    52.24x = 3,641.51
  5. Step 5: Solve for x
    x = 3,641.51/52.24
  6. Step 6: Final answer
    x = 69.71

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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.