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Finding the Fourth Proportional to 867.10, 1,196.88 and 646.78

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Solution

The fourth proportional to 867.10, 1,196.88 and 646.78 is: 892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.10 : 1,196.88 = 646.78 : x
  2. Step 2: Convert to fraction form
    867.10/1,196.88 = 646.78/x
  3. Step 3: Cross multiply
    867.10x = 1,196.88 × 646.78
  4. Step 4: Simplify right side
    867.10x = 774,118.05
  5. Step 5: Solve for x
    x = 774,118.05/867.10
  6. Step 6: Final answer
    x = 892.77

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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.