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Finding the Fourth Proportional to 803.24, 1,108.41 and 471.55

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Solution

The fourth proportional to 803.24, 1,108.41 and 471.55 is: 650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.24 : 1,108.41 = 471.55 : x
  2. Step 2: Convert to fraction form
    803.24/1,108.41 = 471.55/x
  3. Step 3: Cross multiply
    803.24x = 1,108.41 × 471.55
  4. Step 4: Simplify right side
    803.24x = 522,670.74
  5. Step 5: Solve for x
    x = 522,670.74/803.24
  6. Step 6: Final answer
    x = 650.70

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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.