Home / 1,531.62-2,297.13-435.69

Finding the Fourth Proportional to 1,531.62, 2,297.13 and 435.69

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Solution

The fourth proportional to 1,531.62, 2,297.13 and 435.69 is: 653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.62 : 2,297.13 = 435.69 : x
  2. Step 2: Convert to fraction form
    1,531.62/2,297.13 = 435.69/x
  3. Step 3: Cross multiply
    1,531.62x = 2,297.13 × 435.69
  4. Step 4: Simplify right side
    1,531.62x = 1,000,834.94
  5. Step 5: Solve for x
    x = 1,000,834.94/1,531.62
  6. Step 6: Final answer
    x = 653.45

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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.