Home / 1,531.40-2,297.48-435.76

Finding the Fourth Proportional to 1,531.40, 2,297.48 and 435.76

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Solution

The fourth proportional to 1,531.40, 2,297.48 and 435.76 is: 653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.40 : 2,297.48 = 435.76 : x
  2. Step 2: Convert to fraction form
    1,531.40/2,297.48 = 435.76/x
  3. Step 3: Cross multiply
    1,531.40x = 2,297.48 × 435.76
  4. Step 4: Simplify right side
    1,531.40x = 1,001,149.88
  5. Step 5: Solve for x
    x = 1,001,149.88/1,531.40
  6. Step 6: Final answer
    x = 653.75

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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.