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Finding the Fourth Proportional to 659.31, 988.10 and 567.39

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Solution

The fourth proportional to 659.31, 988.10 and 567.39 is: 850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.31 : 988.10 = 567.39 : x
  2. Step 2: Convert to fraction form
    659.31/988.10 = 567.39/x
  3. Step 3: Cross multiply
    659.31x = 988.10 × 567.39
  4. Step 4: Simplify right side
    659.31x = 560,635.22
  5. Step 5: Solve for x
    x = 560,635.22/659.31
  6. Step 6: Final answer
    x = 850.34

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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.