Home / 1,531.24-2,296.82-435.61

Finding the Fourth Proportional to 1,531.24, 2,296.82 and 435.61

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Solution

The fourth proportional to 1,531.24, 2,296.82 and 435.61 is: 653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.24 : 2,296.82 = 435.61 : x
  2. Step 2: Convert to fraction form
    1,531.24/2,296.82 = 435.61/x
  3. Step 3: Cross multiply
    1,531.24x = 2,296.82 × 435.61
  4. Step 4: Simplify right side
    1,531.24x = 1,000,517.76
  5. Step 5: Solve for x
    x = 1,000,517.76/1,531.24
  6. Step 6: Final answer
    x = 653.40

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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.