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Finding the Fourth Proportional to 460.57, 691.16 and 423.49

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Solution

The fourth proportional to 460.57, 691.16 and 423.49 is: 635.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.57 : 691.16 = 423.49 : x
  2. Step 2: Convert to fraction form
    460.57/691.16 = 423.49/x
  3. Step 3: Cross multiply
    460.57x = 691.16 × 423.49
  4. Step 4: Simplify right side
    460.57x = 292,697.23
  5. Step 5: Solve for x
    x = 292,697.23/460.57
  6. Step 6: Final answer
    x = 635.51

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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.