Home / 1,531.46-2,296.50-435.56

Finding the Fourth Proportional to 1,531.46, 2,296.50 and 435.56

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Solution

The fourth proportional to 1,531.46, 2,296.50 and 435.56 is: 653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.46 : 2,296.50 = 435.56 : x
  2. Step 2: Convert to fraction form
    1,531.46/2,296.50 = 435.56/x
  3. Step 3: Cross multiply
    1,531.46x = 2,296.50 × 435.56
  4. Step 4: Simplify right side
    1,531.46x = 1,000,272.25
  5. Step 5: Solve for x
    x = 1,000,272.25/1,531.46
  6. Step 6: Final answer
    x = 653.15

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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.