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Finding the Fourth Proportional to 591.09, 890.09 and 438.11

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Solution

The fourth proportional to 591.09, 890.09 and 438.11 is: 659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 890.09 = 438.11 : x
  2. Step 2: Convert to fraction form
    591.09/890.09 = 438.11/x
  3. Step 3: Cross multiply
    591.09x = 890.09 × 438.11
  4. Step 4: Simplify right side
    591.09x = 389,953.97
  5. Step 5: Solve for x
    x = 389,953.97/591.09
  6. Step 6: Final answer
    x = 659.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.