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Finding the Fourth Proportional to 867.85, 1,195.45 and 646.43

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Solution

The fourth proportional to 867.85, 1,195.45 and 646.43 is: 890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.85 : 1,195.45 = 646.43 : x
  2. Step 2: Convert to fraction form
    867.85/1,195.45 = 646.43/x
  3. Step 3: Cross multiply
    867.85x = 1,195.45 × 646.43
  4. Step 4: Simplify right side
    867.85x = 772,767.15
  5. Step 5: Solve for x
    x = 772,767.15/867.85
  6. Step 6: Final answer
    x = 890.44

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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.