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Finding the Fourth Proportional to 605.69, 907.08 and 296.79

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Solution

The fourth proportional to 605.69, 907.08 and 296.79 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.69 : 907.08 = 296.79 : x
  2. Step 2: Convert to fraction form
    605.69/907.08 = 296.79/x
  3. Step 3: Cross multiply
    605.69x = 907.08 × 296.79
  4. Step 4: Simplify right side
    605.69x = 269,212.27
  5. Step 5: Solve for x
    x = 269,212.27/605.69
  6. Step 6: Final answer
    x = 444.47

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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.