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Finding the Fourth Proportional to 689.34, 1,031.38 and 606.41

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Solution

The fourth proportional to 689.34, 1,031.38 and 606.41 is: 907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.34 : 1,031.38 = 606.41 : x
  2. Step 2: Convert to fraction form
    689.34/1,031.38 = 606.41/x
  3. Step 3: Cross multiply
    689.34x = 1,031.38 × 606.41
  4. Step 4: Simplify right side
    689.34x = 625,441.72
  5. Step 5: Solve for x
    x = 625,441.72/689.34
  6. Step 6: Final answer
    x = 907.31

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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.