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Finding the Fourth Proportional to 867.48, 1,196.28 and 701.58

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Solution

The fourth proportional to 867.48, 1,196.28 and 701.58 is: 967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.48 : 1,196.28 = 701.58 : x
  2. Step 2: Convert to fraction form
    867.48/1,196.28 = 701.58/x
  3. Step 3: Cross multiply
    867.48x = 1,196.28 × 701.58
  4. Step 4: Simplify right side
    867.48x = 839,286.12
  5. Step 5: Solve for x
    x = 839,286.12/867.48
  6. Step 6: Final answer
    x = 967.50

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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.