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Finding the Fourth Proportional to 604.82, 906.87 and 432.59

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Solution

The fourth proportional to 604.82, 906.87 and 432.59 is: 648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.82 : 906.87 = 432.59 : x
  2. Step 2: Convert to fraction form
    604.82/906.87 = 432.59/x
  3. Step 3: Cross multiply
    604.82x = 906.87 × 432.59
  4. Step 4: Simplify right side
    604.82x = 392,303.87
  5. Step 5: Solve for x
    x = 392,303.87/604.82
  6. Step 6: Final answer
    x = 648.63

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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.