Home / 1,531.68-2,296.83-435.78

Finding the Fourth Proportional to 1,531.68, 2,296.83 and 435.78

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Solution

The fourth proportional to 1,531.68, 2,296.83 and 435.78 is: 653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.68 : 2,296.83 = 435.78 : x
  2. Step 2: Convert to fraction form
    1,531.68/2,296.83 = 435.78/x
  3. Step 3: Cross multiply
    1,531.68x = 2,296.83 × 435.78
  4. Step 4: Simplify right side
    1,531.68x = 1,000,912.58
  5. Step 5: Solve for x
    x = 1,000,912.58/1,531.68
  6. Step 6: Final answer
    x = 653.47

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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.