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Finding the Fourth Proportional to 968.65, 1,452.41 and 853.32

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Solution

The fourth proportional to 968.65, 1,452.41 and 853.32 is: 1,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.65 : 1,452.41 = 853.32 : x
  2. Step 2: Convert to fraction form
    968.65/1,452.41 = 853.32/x
  3. Step 3: Cross multiply
    968.65x = 1,452.41 × 853.32
  4. Step 4: Simplify right side
    968.65x = 1,239,370.50
  5. Step 5: Solve for x
    x = 1,239,370.50/968.65
  6. Step 6: Final answer
    x = 1,279.48

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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.