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Finding the Fourth Proportional to 605.82, 906.57 and 362.46

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Solution

The fourth proportional to 605.82, 906.57 and 362.46 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.82 : 906.57 = 362.46 : x
  2. Step 2: Convert to fraction form
    605.82/906.57 = 362.46/x
  3. Step 3: Cross multiply
    605.82x = 906.57 × 362.46
  4. Step 4: Simplify right side
    605.82x = 328,595.36
  5. Step 5: Solve for x
    x = 328,595.36/605.82
  6. Step 6: Final answer
    x = 542.40

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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.