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Finding the Fourth Proportional to 1,310.43, 1,967.49 and 870.42

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Solution

The fourth proportional to 1,310.43, 1,967.49 and 870.42 is: 1,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.43 : 1,967.49 = 870.42 : x
  2. Step 2: Convert to fraction form
    1,310.43/1,967.49 = 870.42/x
  3. Step 3: Cross multiply
    1,310.43x = 1,967.49 × 870.42
  4. Step 4: Simplify right side
    1,310.43x = 1,712,542.65
  5. Step 5: Solve for x
    x = 1,712,542.65/1,310.43
  6. Step 6: Final answer
    x = 1,306.86

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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.