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Finding the Fourth Proportional to 460.22, 686.95 and 405.54

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Solution

The fourth proportional to 460.22, 686.95 and 405.54 is: 605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.22 : 686.95 = 405.54 : x
  2. Step 2: Convert to fraction form
    460.22/686.95 = 405.54/x
  3. Step 3: Cross multiply
    460.22x = 686.95 × 405.54
  4. Step 4: Simplify right side
    460.22x = 278,583.68
  5. Step 5: Solve for x
    x = 278,583.68/460.22
  6. Step 6: Final answer
    x = 605.33

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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.