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Finding the Fourth Proportional to 604.20, 906.89 and 431.07

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Solution

The fourth proportional to 604.20, 906.89 and 431.07 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.20 : 906.89 = 431.07 : x
  2. Step 2: Convert to fraction form
    604.20/906.89 = 431.07/x
  3. Step 3: Cross multiply
    604.20x = 906.89 × 431.07
  4. Step 4: Simplify right side
    604.20x = 390,930.92
  5. Step 5: Solve for x
    x = 390,930.92/604.20
  6. Step 6: Final answer
    x = 647.02

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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.