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Finding the Fourth Proportional to 733.94, 1,105.84 and 606.78

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Solution

The fourth proportional to 733.94, 1,105.84 and 606.78 is: 914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.94 : 1,105.84 = 606.78 : x
  2. Step 2: Convert to fraction form
    733.94/1,105.84 = 606.78/x
  3. Step 3: Cross multiply
    733.94x = 1,105.84 × 606.78
  4. Step 4: Simplify right side
    733.94x = 671,001.60
  5. Step 5: Solve for x
    x = 671,001.60/733.94
  6. Step 6: Final answer
    x = 914.25

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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.