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Finding the Fourth Proportional to 803.29, 1,108.09 and 471.65

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Solution

The fourth proportional to 803.29, 1,108.09 and 471.65 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.29 : 1,108.09 = 471.65 : x
  2. Step 2: Convert to fraction form
    803.29/1,108.09 = 471.65/x
  3. Step 3: Cross multiply
    803.29x = 1,108.09 × 471.65
  4. Step 4: Simplify right side
    803.29x = 522,633.12
  5. Step 5: Solve for x
    x = 522,633.12/803.29
  6. Step 6: Final answer
    x = 650.61

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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.