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Finding the Fourth Proportional to 1,605.64, 2,216 and 907

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Solution

The fourth proportional to 1,605.64, 2,216 and 907 is: 1,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.64 : 2,216 = 907 : x
  2. Step 2: Convert to fraction form
    1,605.64/2,216 = 907/x
  3. Step 3: Cross multiply
    1,605.64x = 2,216 × 907
  4. Step 4: Simplify right side
    1,605.64x = 2,009,912
  5. Step 5: Solve for x
    x = 2,009,912/1,605.64
  6. Step 6: Final answer
    x = 1,251.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.