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Finding the Fourth Proportional to 803.11, 1,200.70 and 681.07

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Solution

The fourth proportional to 803.11, 1,200.70 and 681.07 is: 1,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.11 : 1,200.70 = 681.07 : x
  2. Step 2: Convert to fraction form
    803.11/1,200.70 = 681.07/x
  3. Step 3: Cross multiply
    803.11x = 1,200.70 × 681.07
  4. Step 4: Simplify right side
    803.11x = 817,760.75
  5. Step 5: Solve for x
    x = 817,760.75/803.11
  6. Step 6: Final answer
    x = 1,018.25

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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.