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Finding the Fourth Proportional to 949.17, 1,424.16 and 867.36

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Solution

The fourth proportional to 949.17, 1,424.16 and 867.36 is: 1,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.17 : 1,424.16 = 867.36 : x
  2. Step 2: Convert to fraction form
    949.17/1,424.16 = 867.36/x
  3. Step 3: Cross multiply
    949.17x = 1,424.16 × 867.36
  4. Step 4: Simplify right side
    949.17x = 1,235,259.42
  5. Step 5: Solve for x
    x = 1,235,259.42/949.17
  6. Step 6: Final answer
    x = 1,301.41

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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.