Home / 1,349.20-2,023.80-763.60

Finding the Fourth Proportional to 1,349.20, 2,023.80 and 763.60

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Solution

The fourth proportional to 1,349.20, 2,023.80 and 763.60 is: 1,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.20 : 2,023.80 = 763.60 : x
  2. Step 2: Convert to fraction form
    1,349.20/2,023.80 = 763.60/x
  3. Step 3: Cross multiply
    1,349.20x = 2,023.80 × 763.60
  4. Step 4: Simplify right side
    1,349.20x = 1,545,373.68
  5. Step 5: Solve for x
    x = 1,545,373.68/1,349.20
  6. Step 6: Final answer
    x = 1,145.40

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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.