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Finding the Fourth Proportional to 862.24, 1,289.52 and 772.24

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Solution

The fourth proportional to 862.24, 1,289.52 and 772.24 is: 1,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.24 : 1,289.52 = 772.24 : x
  2. Step 2: Convert to fraction form
    862.24/1,289.52 = 772.24/x
  3. Step 3: Cross multiply
    862.24x = 1,289.52 × 772.24
  4. Step 4: Simplify right side
    862.24x = 995,818.92
  5. Step 5: Solve for x
    x = 995,818.92/862.24
  6. Step 6: Final answer
    x = 1,154.92

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1.5x scale

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.