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Finding the Fourth Proportional to 604.24, 905.10 and 387.16

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Solution

The fourth proportional to 604.24, 905.10 and 387.16 is: 579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 905.10 = 387.16 : x
  2. Step 2: Convert to fraction form
    604.24/905.10 = 387.16/x
  3. Step 3: Cross multiply
    604.24x = 905.10 × 387.16
  4. Step 4: Simplify right side
    604.24x = 350,418.52
  5. Step 5: Solve for x
    x = 350,418.52/604.24
  6. Step 6: Final answer
    x = 579.93

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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.