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Finding the Fourth Proportional to 866.08, 1,196.28 and 783.20

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Solution

The fourth proportional to 866.08, 1,196.28 and 783.20 is: 1,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.08 : 1,196.28 = 783.20 : x
  2. Step 2: Convert to fraction form
    866.08/1,196.28 = 783.20/x
  3. Step 3: Cross multiply
    866.08x = 1,196.28 × 783.20
  4. Step 4: Simplify right side
    866.08x = 936,926.50
  5. Step 5: Solve for x
    x = 936,926.50/866.08
  6. Step 6: Final answer
    x = 1,081.80

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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.