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Finding the Fourth Proportional to 690.28, 1,031.39 and 567.16

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Solution

The fourth proportional to 690.28, 1,031.39 and 567.16 is: 847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.28 : 1,031.39 = 567.16 : x
  2. Step 2: Convert to fraction form
    690.28/1,031.39 = 567.16/x
  3. Step 3: Cross multiply
    690.28x = 1,031.39 × 567.16
  4. Step 4: Simplify right side
    690.28x = 584,963.15
  5. Step 5: Solve for x
    x = 584,963.15/690.28
  6. Step 6: Final answer
    x = 847.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.