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Finding the Fourth Proportional to 604.29, 905.76 and 360.31

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Solution

The fourth proportional to 604.29, 905.76 and 360.31 is: 540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.29 : 905.76 = 360.31 : x
  2. Step 2: Convert to fraction form
    604.29/905.76 = 360.31/x
  3. Step 3: Cross multiply
    604.29x = 905.76 × 360.31
  4. Step 4: Simplify right side
    604.29x = 326,348.06
  5. Step 5: Solve for x
    x = 326,348.06/604.29
  6. Step 6: Final answer
    x = 540.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.