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Finding the Fourth Proportional to 803.74, 1,203.24 and 726.88

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Solution

The fourth proportional to 803.74, 1,203.24 and 726.88 is: 1,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.74 : 1,203.24 = 726.88 : x
  2. Step 2: Convert to fraction form
    803.74/1,203.24 = 726.88/x
  3. Step 3: Cross multiply
    803.74x = 1,203.24 × 726.88
  4. Step 4: Simplify right side
    803.74x = 874,611.09
  5. Step 5: Solve for x
    x = 874,611.09/803.74
  6. Step 6: Final answer
    x = 1,088.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.