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Finding the Fourth Proportional to 460.07, 685.07 and 448.46

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Solution

The fourth proportional to 460.07, 685.07 and 448.46 is: 667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.07 : 685.07 = 448.46 : x
  2. Step 2: Convert to fraction form
    460.07/685.07 = 448.46/x
  3. Step 3: Cross multiply
    460.07x = 685.07 × 448.46
  4. Step 4: Simplify right side
    460.07x = 307,226.49
  5. Step 5: Solve for x
    x = 307,226.49/460.07
  6. Step 6: Final answer
    x = 667.78

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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.