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Finding the Fourth Proportional to 1,669.94, 2,502.18 and 889.11

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Solution

The fourth proportional to 1,669.94, 2,502.18 and 889.11 is: 1,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.94 : 2,502.18 = 889.11 : x
  2. Step 2: Convert to fraction form
    1,669.94/2,502.18 = 889.11/x
  3. Step 3: Cross multiply
    1,669.94x = 2,502.18 × 889.11
  4. Step 4: Simplify right side
    1,669.94x = 2,224,722.57
  5. Step 5: Solve for x
    x = 2,224,722.57/1,669.94
  6. Step 6: Final answer
    x = 1,332.22

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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.