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Finding the Fourth Proportional to 803.07, 1,107.56 and 523.15

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Solution

The fourth proportional to 803.07, 1,107.56 and 523.15 is: 721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.07 : 1,107.56 = 523.15 : x
  2. Step 2: Convert to fraction form
    803.07/1,107.56 = 523.15/x
  3. Step 3: Cross multiply
    803.07x = 1,107.56 × 523.15
  4. Step 4: Simplify right side
    803.07x = 579,418.55
  5. Step 5: Solve for x
    x = 579,418.55/803.07
  6. Step 6: Final answer
    x = 721.50

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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.