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Finding the Fourth Proportional to 671.67, 925.70 and 496.71

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Solution

The fourth proportional to 671.67, 925.70 and 496.71 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.67 : 925.70 = 496.71 : x
  2. Step 2: Convert to fraction form
    671.67/925.70 = 496.71/x
  3. Step 3: Cross multiply
    671.67x = 925.70 × 496.71
  4. Step 4: Simplify right side
    671.67x = 459,801.96
  5. Step 5: Solve for x
    x = 459,801.96/671.67
  6. Step 6: Final answer
    x = 684.57

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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.