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Finding the Fourth Proportional to 1,397.70, 2,095.83 and 423.69

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Solution

The fourth proportional to 1,397.70, 2,095.83 and 423.69 is: 635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.70 : 2,095.83 = 423.69 : x
  2. Step 2: Convert to fraction form
    1,397.70/2,095.83 = 423.69/x
  3. Step 3: Cross multiply
    1,397.70x = 2,095.83 × 423.69
  4. Step 4: Simplify right side
    1,397.70x = 887,982.21
  5. Step 5: Solve for x
    x = 887,982.21/1,397.70
  6. Step 6: Final answer
    x = 635.32

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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.