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Finding the Fourth Proportional to 803.02, 1,108.62 and 523.54

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Solution

The fourth proportional to 803.02, 1,108.62 and 523.54 is: 722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.02 : 1,108.62 = 523.54 : x
  2. Step 2: Convert to fraction form
    803.02/1,108.62 = 523.54/x
  3. Step 3: Cross multiply
    803.02x = 1,108.62 × 523.54
  4. Step 4: Simplify right side
    803.02x = 580,406.91
  5. Step 5: Solve for x
    x = 580,406.91/803.02
  6. Step 6: Final answer
    x = 722.78

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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.