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Finding the Fourth Proportional to 803.54, 1,106.70 and 801.14

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Solution

The fourth proportional to 803.54, 1,106.70 and 801.14 is: 1,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.54 : 1,106.70 = 801.14 : x
  2. Step 2: Convert to fraction form
    803.54/1,106.70 = 801.14/x
  3. Step 3: Cross multiply
    803.54x = 1,106.70 × 801.14
  4. Step 4: Simplify right side
    803.54x = 886,621.64
  5. Step 5: Solve for x
    x = 886,621.64/803.54
  6. Step 6: Final answer
    x = 1,103.39

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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.