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Finding the Fourth Proportional to 671.14, 925.57 and 434.86

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Solution

The fourth proportional to 671.14, 925.57 and 434.86 is: 599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.14 : 925.57 = 434.86 : x
  2. Step 2: Convert to fraction form
    671.14/925.57 = 434.86/x
  3. Step 3: Cross multiply
    671.14x = 925.57 × 434.86
  4. Step 4: Simplify right side
    671.14x = 402,489.99
  5. Step 5: Solve for x
    x = 402,489.99/671.14
  6. Step 6: Final answer
    x = 599.71

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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.