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Finding the Fourth Proportional to 921.19, 1,378.57 and 867.89

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Solution

The fourth proportional to 921.19, 1,378.57 and 867.89 is: 1,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.19 : 1,378.57 = 867.89 : x
  2. Step 2: Convert to fraction form
    921.19/1,378.57 = 867.89/x
  3. Step 3: Cross multiply
    921.19x = 1,378.57 × 867.89
  4. Step 4: Simplify right side
    921.19x = 1,196,447.12
  5. Step 5: Solve for x
    x = 1,196,447.12/921.19
  6. Step 6: Final answer
    x = 1,298.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.