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Finding the Fourth Proportional to 497.04, 685.17 and 330.90

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Solution

The fourth proportional to 497.04, 685.17 and 330.90 is: 456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 685.17 = 330.90 : x
  2. Step 2: Convert to fraction form
    497.04/685.17 = 330.90/x
  3. Step 3: Cross multiply
    497.04x = 685.17 × 330.90
  4. Step 4: Simplify right side
    497.04x = 226,722.75
  5. Step 5: Solve for x
    x = 226,722.75/497.04
  6. Step 6: Final answer
    x = 456.15

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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.