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Finding the Fourth Proportional to 873.47, 1,310.22 and 699.33

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Solution

The fourth proportional to 873.47, 1,310.22 and 699.33 is: 1,049.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.47 : 1,310.22 = 699.33 : x
  2. Step 2: Convert to fraction form
    873.47/1,310.22 = 699.33/x
  3. Step 3: Cross multiply
    873.47x = 1,310.22 × 699.33
  4. Step 4: Simplify right side
    873.47x = 916,276.15
  5. Step 5: Solve for x
    x = 916,276.15/873.47
  6. Step 6: Final answer
    x = 1,049.01

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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.