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Finding the Fourth Proportional to 604.19, 906.89 and 431.06

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Solution

The fourth proportional to 604.19, 906.89 and 431.06 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.19 : 906.89 = 431.06 : x
  2. Step 2: Convert to fraction form
    604.19/906.89 = 431.06/x
  3. Step 3: Cross multiply
    604.19x = 906.89 × 431.06
  4. Step 4: Simplify right side
    604.19x = 390,920.55
  5. Step 5: Solve for x
    x = 390,920.55/604.19
  6. Step 6: Final answer
    x = 647.01

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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.