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Finding the Fourth Proportional to 689.16, 1,034.04 and 279.10

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Solution

The fourth proportional to 689.16, 1,034.04 and 279.10 is: 418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.16 : 1,034.04 = 279.10 : x
  2. Step 2: Convert to fraction form
    689.16/1,034.04 = 279.10/x
  3. Step 3: Cross multiply
    689.16x = 1,034.04 × 279.10
  4. Step 4: Simplify right side
    689.16x = 288,595.39
  5. Step 5: Solve for x
    x = 288,595.39/689.16
  6. Step 6: Final answer
    x = 418.77

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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.