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Finding the Fourth Proportional to 689.25, 1,034.24 and 347.25

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Solution

The fourth proportional to 689.25, 1,034.24 and 347.25 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.25 : 1,034.24 = 347.25 : x
  2. Step 2: Convert to fraction form
    689.25/1,034.24 = 347.25/x
  3. Step 3: Cross multiply
    689.25x = 1,034.24 × 347.25
  4. Step 4: Simplify right side
    689.25x = 359,138.10
  5. Step 5: Solve for x
    x = 359,138.10/689.25
  6. Step 6: Final answer
    x = 521.06

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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.