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Finding the Fourth Proportional to 1,397.40, 2,096.37 and 423.51

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Solution

The fourth proportional to 1,397.40, 2,096.37 and 423.51 is: 635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.40 : 2,096.37 = 423.51 : x
  2. Step 2: Convert to fraction form
    1,397.40/2,096.37 = 423.51/x
  3. Step 3: Cross multiply
    1,397.40x = 2,096.37 × 423.51
  4. Step 4: Simplify right side
    1,397.40x = 887,833.66
  5. Step 5: Solve for x
    x = 887,833.66/1,397.40
  6. Step 6: Final answer
    x = 635.35

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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.