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Finding the Fourth Proportional to 605.66, 907.65 and 412.88

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Solution

The fourth proportional to 605.66, 907.65 and 412.88 is: 618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 907.65 = 412.88 : x
  2. Step 2: Convert to fraction form
    605.66/907.65 = 412.88/x
  3. Step 3: Cross multiply
    605.66x = 907.65 × 412.88
  4. Step 4: Simplify right side
    605.66x = 374,745.99
  5. Step 5: Solve for x
    x = 374,745.99/605.66
  6. Step 6: Final answer
    x = 618.74

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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.