Home / 1,505.28-2,258.10-531.48

Finding the Fourth Proportional to 1,505.28, 2,258.10 and 531.48

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Solution

The fourth proportional to 1,505.28, 2,258.10 and 531.48 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.28 : 2,258.10 = 531.48 : x
  2. Step 2: Convert to fraction form
    1,505.28/2,258.10 = 531.48/x
  3. Step 3: Cross multiply
    1,505.28x = 2,258.10 × 531.48
  4. Step 4: Simplify right side
    1,505.28x = 1,200,134.99
  5. Step 5: Solve for x
    x = 1,200,134.99/1,505.28
  6. Step 6: Final answer
    x = 797.28

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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.