Home / 1,397.29-2,096.33-423.40

Finding the Fourth Proportional to 1,397.29, 2,096.33 and 423.40

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Solution

The fourth proportional to 1,397.29, 2,096.33 and 423.40 is: 635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.29 : 2,096.33 = 423.40 : x
  2. Step 2: Convert to fraction form
    1,397.29/2,096.33 = 423.40/x
  3. Step 3: Cross multiply
    1,397.29x = 2,096.33 × 423.40
  4. Step 4: Simplify right side
    1,397.29x = 887,586.12
  5. Step 5: Solve for x
    x = 887,586.12/1,397.29
  6. Step 6: Final answer
    x = 635.22

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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.