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Finding the Fourth Proportional to 803.36, 1,202.98 and 680.34

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Solution

The fourth proportional to 803.36, 1,202.98 and 680.34 is: 1,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.36 : 1,202.98 = 680.34 : x
  2. Step 2: Convert to fraction form
    803.36/1,202.98 = 680.34/x
  3. Step 3: Cross multiply
    803.36x = 1,202.98 × 680.34
  4. Step 4: Simplify right side
    803.36x = 818,435.41
  5. Step 5: Solve for x
    x = 818,435.41/803.36
  6. Step 6: Final answer
    x = 1,018.77

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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.