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Finding the Fourth Proportional to 803.56, 1,107.06 and 616.84

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Solution

The fourth proportional to 803.56, 1,107.06 and 616.84 is: 849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.56 : 1,107.06 = 616.84 : x
  2. Step 2: Convert to fraction form
    803.56/1,107.06 = 616.84/x
  3. Step 3: Cross multiply
    803.56x = 1,107.06 × 616.84
  4. Step 4: Simplify right side
    803.56x = 682,878.89
  5. Step 5: Solve for x
    x = 682,878.89/803.56
  6. Step 6: Final answer
    x = 849.82

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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.