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Finding the Fourth Proportional to 688.56, 1,031.03 and 567.38

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Solution

The fourth proportional to 688.56, 1,031.03 and 567.38 is: 849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.56 : 1,031.03 = 567.38 : x
  2. Step 2: Convert to fraction form
    688.56/1,031.03 = 567.38/x
  3. Step 3: Cross multiply
    688.56x = 1,031.03 × 567.38
  4. Step 4: Simplify right side
    688.56x = 584,977.81
  5. Step 5: Solve for x
    x = 584,977.81/688.56
  6. Step 6: Final answer
    x = 849.57

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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.