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Finding the Fourth Proportional to 52.00, 77.64 and 45.85

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Solution

The fourth proportional to 52.00, 77.64 and 45.85 is: 68.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.00 : 77.64 = 45.85 : x
  2. Step 2: Convert to fraction form
    52.00/77.64 = 45.85/x
  3. Step 3: Cross multiply
    52.00x = 77.64 × 45.85
  4. Step 4: Simplify right side
    52.00x = 3,559.79
  5. Step 5: Solve for x
    x = 3,559.79/52.00
  6. Step 6: Final answer
    x = 68.45

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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.