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Finding the Fourth Proportional to 852.72, 1,277.16 and 527.16

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Solution

The fourth proportional to 852.72, 1,277.16 and 527.16 is: 789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.72 : 1,277.16 = 527.16 : x
  2. Step 2: Convert to fraction form
    852.72/1,277.16 = 527.16/x
  3. Step 3: Cross multiply
    852.72x = 1,277.16 × 527.16
  4. Step 4: Simplify right side
    852.72x = 673,267.67
  5. Step 5: Solve for x
    x = 673,267.67/852.72
  6. Step 6: Final answer
    x = 789.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.