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Finding the Fourth Proportional to 52.77, 78.82 and 45.57

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Solution

The fourth proportional to 52.77, 78.82 and 45.57 is: 68.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.77 : 78.82 = 45.57 : x
  2. Step 2: Convert to fraction form
    52.77/78.82 = 45.57/x
  3. Step 3: Cross multiply
    52.77x = 78.82 × 45.57
  4. Step 4: Simplify right side
    52.77x = 3,591.83
  5. Step 5: Solve for x
    x = 3,591.83/52.77
  6. Step 6: Final answer
    x = 68.07

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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.