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Finding the Fourth Proportional to 688.23, 1,031.40 and 379.44

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Solution

The fourth proportional to 688.23, 1,031.40 and 379.44 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 1,031.40 = 379.44 : x
  2. Step 2: Convert to fraction form
    688.23/1,031.40 = 379.44/x
  3. Step 3: Cross multiply
    688.23x = 1,031.40 × 379.44
  4. Step 4: Simplify right side
    688.23x = 391,354.42
  5. Step 5: Solve for x
    x = 391,354.42/688.23
  6. Step 6: Final answer
    x = 568.64

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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.