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Finding the Fourth Proportional to 460.78, 687.80 and 406.11

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Solution

The fourth proportional to 460.78, 687.80 and 406.11 is: 606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.78 : 687.80 = 406.11 : x
  2. Step 2: Convert to fraction form
    460.78/687.80 = 406.11/x
  3. Step 3: Cross multiply
    460.78x = 687.80 × 406.11
  4. Step 4: Simplify right side
    460.78x = 279,319.02
  5. Step 5: Solve for x
    x = 279,319.02/460.78
  6. Step 6: Final answer
    x = 606.19

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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.