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Finding the Fourth Proportional to 605.67, 907.14 and 423.20

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Solution

The fourth proportional to 605.67, 907.14 and 423.20 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.67 : 907.14 = 423.20 : x
  2. Step 2: Convert to fraction form
    605.67/907.14 = 423.20/x
  3. Step 3: Cross multiply
    605.67x = 907.14 × 423.20
  4. Step 4: Simplify right side
    605.67x = 383,901.65
  5. Step 5: Solve for x
    x = 383,901.65/605.67
  6. Step 6: Final answer
    x = 633.85

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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.