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Finding the Fourth Proportional to 1,605.13, 2,214.98 and 906.37

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Solution

The fourth proportional to 1,605.13, 2,214.98 and 906.37 is: 1,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.13 : 2,214.98 = 906.37 : x
  2. Step 2: Convert to fraction form
    1,605.13/2,214.98 = 906.37/x
  3. Step 3: Cross multiply
    1,605.13x = 2,214.98 × 906.37
  4. Step 4: Simplify right side
    1,605.13x = 2,007,586.89
  5. Step 5: Solve for x
    x = 2,007,586.89/1,605.13
  6. Step 6: Final answer
    x = 1,250.73

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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.