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Finding the Fourth Proportional to 497.46, 685.14 and 404.04

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Solution

The fourth proportional to 497.46, 685.14 and 404.04 is: 556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.46 : 685.14 = 404.04 : x
  2. Step 2: Convert to fraction form
    497.46/685.14 = 404.04/x
  3. Step 3: Cross multiply
    497.46x = 685.14 × 404.04
  4. Step 4: Simplify right side
    497.46x = 276,823.97
  5. Step 5: Solve for x
    x = 276,823.97/497.46
  6. Step 6: Final answer
    x = 556.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.