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Finding the Fourth Proportional to 689.48, 1,034.14 and 299.08

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Solution

The fourth proportional to 689.48, 1,034.14 and 299.08 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.48 : 1,034.14 = 299.08 : x
  2. Step 2: Convert to fraction form
    689.48/1,034.14 = 299.08/x
  3. Step 3: Cross multiply
    689.48x = 1,034.14 × 299.08
  4. Step 4: Simplify right side
    689.48x = 309,290.59
  5. Step 5: Solve for x
    x = 309,290.59/689.48
  6. Step 6: Final answer
    x = 448.59

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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.