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Finding the Fourth Proportional to 486.41, 725.36 and 460.08

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Solution

The fourth proportional to 486.41, 725.36 and 460.08 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.41 : 725.36 = 460.08 : x
  2. Step 2: Convert to fraction form
    486.41/725.36 = 460.08/x
  3. Step 3: Cross multiply
    486.41x = 725.36 × 460.08
  4. Step 4: Simplify right side
    486.41x = 333,721.33
  5. Step 5: Solve for x
    x = 333,721.33/486.41
  6. Step 6: Final answer
    x = 686.10

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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.