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Finding the Fourth Proportional to 867.20, 1,196.60 and 508.17

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Solution

The fourth proportional to 867.20, 1,196.60 and 508.17 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.20 : 1,196.60 = 508.17 : x
  2. Step 2: Convert to fraction form
    867.20/1,196.60 = 508.17/x
  3. Step 3: Cross multiply
    867.20x = 1,196.60 × 508.17
  4. Step 4: Simplify right side
    867.20x = 608,073.68
  5. Step 5: Solve for x
    x = 608,073.68/867.20
  6. Step 6: Final answer
    x = 701.20

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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.