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Finding the Fourth Proportional to 803.11, 1,108.20 and 471.64

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Solution

The fourth proportional to 803.11, 1,108.20 and 471.64 is: 650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.11 : 1,108.20 = 471.64 : x
  2. Step 2: Convert to fraction form
    803.11/1,108.20 = 471.64/x
  3. Step 3: Cross multiply
    803.11x = 1,108.20 × 471.64
  4. Step 4: Simplify right side
    803.11x = 522,670.45
  5. Step 5: Solve for x
    x = 522,670.45/803.11
  6. Step 6: Final answer
    x = 650.81

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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.