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Finding the Fourth Proportional to 52.79, 78.61 and 52.55

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Solution

The fourth proportional to 52.79, 78.61 and 52.55 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.79 : 78.61 = 52.55 : x
  2. Step 2: Convert to fraction form
    52.79/78.61 = 52.55/x
  3. Step 3: Cross multiply
    52.79x = 78.61 × 52.55
  4. Step 4: Simplify right side
    52.79x = 4,130.96
  5. Step 5: Solve for x
    x = 4,130.96/52.79
  6. Step 6: Final answer
    x = 78.25

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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.