Home / 1,531.56-2,297.46-435.90

Finding the Fourth Proportional to 1,531.56, 2,297.46 and 435.90

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Solution

The fourth proportional to 1,531.56, 2,297.46 and 435.90 is: 653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.56 : 2,297.46 = 435.90 : x
  2. Step 2: Convert to fraction form
    1,531.56/2,297.46 = 435.90/x
  3. Step 3: Cross multiply
    1,531.56x = 2,297.46 × 435.90
  4. Step 4: Simplify right side
    1,531.56x = 1,001,462.81
  5. Step 5: Solve for x
    x = 1,001,462.81/1,531.56
  6. Step 6: Final answer
    x = 653.88

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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.