Home / 1,423.20-2,130.24-763.43

Finding the Fourth Proportional to 1,423.20, 2,130.24 and 763.43

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Solution

The fourth proportional to 1,423.20, 2,130.24 and 763.43 is: 1,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.20 : 2,130.24 = 763.43 : x
  2. Step 2: Convert to fraction form
    1,423.20/2,130.24 = 763.43/x
  3. Step 3: Cross multiply
    1,423.20x = 2,130.24 × 763.43
  4. Step 4: Simplify right side
    1,423.20x = 1,626,289.12
  5. Step 5: Solve for x
    x = 1,626,289.12/1,423.20
  6. Step 6: Final answer
    x = 1,142.70

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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.