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Finding the Fourth Proportional to 873.65, 1,306.82 and 699.60

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Solution

The fourth proportional to 873.65, 1,306.82 and 699.60 is: 1,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.65 : 1,306.82 = 699.60 : x
  2. Step 2: Convert to fraction form
    873.65/1,306.82 = 699.60/x
  3. Step 3: Cross multiply
    873.65x = 1,306.82 × 699.60
  4. Step 4: Simplify right side
    873.65x = 914,253.02
  5. Step 5: Solve for x
    x = 914,253.02/873.65
  6. Step 6: Final answer
    x = 1,046.48

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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.