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Finding the Fourth Proportional to 605.51, 907.56 and 280.19

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Solution

The fourth proportional to 605.51, 907.56 and 280.19 is: 419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.51 : 907.56 = 280.19 : x
  2. Step 2: Convert to fraction form
    605.51/907.56 = 280.19/x
  3. Step 3: Cross multiply
    605.51x = 907.56 × 280.19
  4. Step 4: Simplify right side
    605.51x = 254,289.24
  5. Step 5: Solve for x
    x = 254,289.24/605.51
  6. Step 6: Final answer
    x = 419.96

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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.