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Finding the Fourth Proportional to 815.84, 1,126.10 and 606.23

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Solution

The fourth proportional to 815.84, 1,126.10 and 606.23 is: 836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.84 : 1,126.10 = 606.23 : x
  2. Step 2: Convert to fraction form
    815.84/1,126.10 = 606.23/x
  3. Step 3: Cross multiply
    815.84x = 1,126.10 × 606.23
  4. Step 4: Simplify right side
    815.84x = 682,672.57
  5. Step 5: Solve for x
    x = 682,672.57/815.84
  6. Step 6: Final answer
    x = 836.77

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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.