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Finding the Fourth Proportional to 605.08, 907.83 and 280.69

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Solution

The fourth proportional to 605.08, 907.83 and 280.69 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.08 : 907.83 = 280.69 : x
  2. Step 2: Convert to fraction form
    605.08/907.83 = 280.69/x
  3. Step 3: Cross multiply
    605.08x = 907.83 × 280.69
  4. Step 4: Simplify right side
    605.08x = 254,818.80
  5. Step 5: Solve for x
    x = 254,818.80/605.08
  6. Step 6: Final answer
    x = 421.13

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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.