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Finding the Fourth Proportional to 688.26, 1,031.61 and 341.84

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Solution

The fourth proportional to 688.26, 1,031.61 and 341.84 is: 512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.26 : 1,031.61 = 341.84 : x
  2. Step 2: Convert to fraction form
    688.26/1,031.61 = 341.84/x
  3. Step 3: Cross multiply
    688.26x = 1,031.61 × 341.84
  4. Step 4: Simplify right side
    688.26x = 352,640.40
  5. Step 5: Solve for x
    x = 352,640.40/688.26
  6. Step 6: Final answer
    x = 512.37

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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.