Home / 1,531.45-2,297.24-435.89

Finding the Fourth Proportional to 1,531.45, 2,297.24 and 435.89

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Solution

The fourth proportional to 1,531.45, 2,297.24 and 435.89 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.45 : 2,297.24 = 435.89 : x
  2. Step 2: Convert to fraction form
    1,531.45/2,297.24 = 435.89/x
  3. Step 3: Cross multiply
    1,531.45x = 2,297.24 × 435.89
  4. Step 4: Simplify right side
    1,531.45x = 1,001,338.67
  5. Step 5: Solve for x
    x = 1,001,338.67/1,531.45
  6. Step 6: Final answer
    x = 653.85

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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.