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Finding the Fourth Proportional to 699.64, 1,049.48 and 410.88

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Solution

The fourth proportional to 699.64, 1,049.48 and 410.88 is: 616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.64 : 1,049.48 = 410.88 : x
  2. Step 2: Convert to fraction form
    699.64/1,049.48 = 410.88/x
  3. Step 3: Cross multiply
    699.64x = 1,049.48 × 410.88
  4. Step 4: Simplify right side
    699.64x = 431,210.34
  5. Step 5: Solve for x
    x = 431,210.34/699.64
  6. Step 6: Final answer
    x = 616.33

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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.