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Finding the Fourth Proportional to 671.34, 925.26 and 566.70

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Solution

The fourth proportional to 671.34, 925.26 and 566.70 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.34 : 925.26 = 566.70 : x
  2. Step 2: Convert to fraction form
    671.34/925.26 = 566.70/x
  3. Step 3: Cross multiply
    671.34x = 925.26 × 566.70
  4. Step 4: Simplify right side
    671.34x = 524,344.84
  5. Step 5: Solve for x
    x = 524,344.84/671.34
  6. Step 6: Final answer
    x = 781.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.