Home / 1,467.16-2,200.14-542.78

Finding the Fourth Proportional to 1,467.16, 2,200.14 and 542.78

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Solution

The fourth proportional to 1,467.16, 2,200.14 and 542.78 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.16 : 2,200.14 = 542.78 : x
  2. Step 2: Convert to fraction form
    1,467.16/2,200.14 = 542.78/x
  3. Step 3: Cross multiply
    1,467.16x = 2,200.14 × 542.78
  4. Step 4: Simplify right side
    1,467.16x = 1,194,191.99
  5. Step 5: Solve for x
    x = 1,194,191.99/1,467.16
  6. Step 6: Final answer
    x = 813.95

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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.