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Finding the Fourth Proportional to 1,214.24, 1,822.24 and 484

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Solution

The fourth proportional to 1,214.24, 1,822.24 and 484 is: 726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.24 : 1,822.24 = 484 : x
  2. Step 2: Convert to fraction form
    1,214.24/1,822.24 = 484/x
  3. Step 3: Cross multiply
    1,214.24x = 1,822.24 × 484
  4. Step 4: Simplify right side
    1,214.24x = 881,964.16
  5. Step 5: Solve for x
    x = 881,964.16/1,214.24
  6. Step 6: Final answer
    x = 726.35

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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.