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Finding the Fourth Proportional to 867.18, 1,196.25 and 587.04

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Solution

The fourth proportional to 867.18, 1,196.25 and 587.04 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.18 : 1,196.25 = 587.04 : x
  2. Step 2: Convert to fraction form
    867.18/1,196.25 = 587.04/x
  3. Step 3: Cross multiply
    867.18x = 1,196.25 × 587.04
  4. Step 4: Simplify right side
    867.18x = 702,246.60
  5. Step 5: Solve for x
    x = 702,246.60/867.18
  6. Step 6: Final answer
    x = 809.80

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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.