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Finding the Fourth Proportional to 880.39, 1,207.06 and 866.08

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Solution

The fourth proportional to 880.39, 1,207.06 and 866.08 is: 1,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.39 : 1,207.06 = 866.08 : x
  2. Step 2: Convert to fraction form
    880.39/1,207.06 = 866.08/x
  3. Step 3: Cross multiply
    880.39x = 1,207.06 × 866.08
  4. Step 4: Simplify right side
    880.39x = 1,045,410.52
  5. Step 5: Solve for x
    x = 1,045,410.52/880.39
  6. Step 6: Final answer
    x = 1,187.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.