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Finding the Fourth Proportional to 852.55, 1,277.91 and 412.87

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Solution

The fourth proportional to 852.55, 1,277.91 and 412.87 is: 618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.55 : 1,277.91 = 412.87 : x
  2. Step 2: Convert to fraction form
    852.55/1,277.91 = 412.87/x
  3. Step 3: Cross multiply
    852.55x = 1,277.91 × 412.87
  4. Step 4: Simplify right side
    852.55x = 527,613.90
  5. Step 5: Solve for x
    x = 527,613.90/852.55
  6. Step 6: Final answer
    x = 618.86

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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.