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Finding the Fourth Proportional to 460.94, 691.59 and 423.14

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Solution

The fourth proportional to 460.94, 691.59 and 423.14 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.94 : 691.59 = 423.14 : x
  2. Step 2: Convert to fraction form
    460.94/691.59 = 423.14/x
  3. Step 3: Cross multiply
    460.94x = 691.59 × 423.14
  4. Step 4: Simplify right side
    460.94x = 292,639.39
  5. Step 5: Solve for x
    x = 292,639.39/460.94
  6. Step 6: Final answer
    x = 634.88

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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.