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Finding the Fourth Proportional to 605.91, 906.84 and 432.03

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Solution

The fourth proportional to 605.91, 906.84 and 432.03 is: 646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.91 : 906.84 = 432.03 : x
  2. Step 2: Convert to fraction form
    605.91/906.84 = 432.03/x
  3. Step 3: Cross multiply
    605.91x = 906.84 × 432.03
  4. Step 4: Simplify right side
    605.91x = 391,782.09
  5. Step 5: Solve for x
    x = 391,782.09/605.91
  6. Step 6: Final answer
    x = 646.60

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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.