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Finding the Fourth Proportional to 1,265.90, 1,898.87 and 400.23

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Solution

The fourth proportional to 1,265.90, 1,898.87 and 400.23 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.90 : 1,898.87 = 400.23 : x
  2. Step 2: Convert to fraction form
    1,265.90/1,898.87 = 400.23/x
  3. Step 3: Cross multiply
    1,265.90x = 1,898.87 × 400.23
  4. Step 4: Simplify right side
    1,265.90x = 759,982.74
  5. Step 5: Solve for x
    x = 759,982.74/1,265.90
  6. Step 6: Final answer
    x = 600.35

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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.