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Finding the Fourth Proportional to 870.11, 1,198.09 and 800.45

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Solution

The fourth proportional to 870.11, 1,198.09 and 800.45 is: 1,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.11 : 1,198.09 = 800.45 : x
  2. Step 2: Convert to fraction form
    870.11/1,198.09 = 800.45/x
  3. Step 3: Cross multiply
    870.11x = 1,198.09 × 800.45
  4. Step 4: Simplify right side
    870.11x = 959,011.14
  5. Step 5: Solve for x
    x = 959,011.14/870.11
  6. Step 6: Final answer
    x = 1,102.17

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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.