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Finding the Fourth Proportional to 605.45, 906.75 and 594.11

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Solution

The fourth proportional to 605.45, 906.75 and 594.11 is: 889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.45 : 906.75 = 594.11 : x
  2. Step 2: Convert to fraction form
    605.45/906.75 = 594.11/x
  3. Step 3: Cross multiply
    605.45x = 906.75 × 594.11
  4. Step 4: Simplify right side
    605.45x = 538,704.71
  5. Step 5: Solve for x
    x = 538,704.71/605.45
  6. Step 6: Final answer
    x = 889.77

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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.