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Finding the Fourth Proportional to 1,265.85, 1,898.01 and 680.31

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Solution

The fourth proportional to 1,265.85, 1,898.01 and 680.31 is: 1,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.85 : 1,898.01 = 680.31 : x
  2. Step 2: Convert to fraction form
    1,265.85/1,898.01 = 680.31/x
  3. Step 3: Cross multiply
    1,265.85x = 1,898.01 × 680.31
  4. Step 4: Simplify right side
    1,265.85x = 1,291,235.18
  5. Step 5: Solve for x
    x = 1,291,235.18/1,265.85
  6. Step 6: Final answer
    x = 1,020.05

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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.