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Finding the Fourth Proportional to 803.71, 1,109.50 and 604.62

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Solution

The fourth proportional to 803.71, 1,109.50 and 604.62 is: 834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.71 : 1,109.50 = 604.62 : x
  2. Step 2: Convert to fraction form
    803.71/1,109.50 = 604.62/x
  3. Step 3: Cross multiply
    803.71x = 1,109.50 × 604.62
  4. Step 4: Simplify right side
    803.71x = 670,826.97
  5. Step 5: Solve for x
    x = 670,826.97/803.71
  6. Step 6: Final answer
    x = 834.66

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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.