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Finding the Fourth Proportional to 460.28, 687.05 and 405.61

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Solution

The fourth proportional to 460.28, 687.05 and 405.61 is: 605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.28 : 687.05 = 405.61 : x
  2. Step 2: Convert to fraction form
    460.28/687.05 = 405.61/x
  3. Step 3: Cross multiply
    460.28x = 687.05 × 405.61
  4. Step 4: Simplify right side
    460.28x = 278,671.42
  5. Step 5: Solve for x
    x = 278,671.42/460.28
  6. Step 6: Final answer
    x = 605.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.