Home / 1,509.20-2,263.79-728.29

Finding the Fourth Proportional to 1,509.20, 2,263.79 and 728.29

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Solution

The fourth proportional to 1,509.20, 2,263.79 and 728.29 is: 1,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.20 : 2,263.79 = 728.29 : x
  2. Step 2: Convert to fraction form
    1,509.20/2,263.79 = 728.29/x
  3. Step 3: Cross multiply
    1,509.20x = 2,263.79 × 728.29
  4. Step 4: Simplify right side
    1,509.20x = 1,648,695.62
  5. Step 5: Solve for x
    x = 1,648,695.62/1,509.20
  6. Step 6: Final answer
    x = 1,092.43

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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.