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Finding the Fourth Proportional to 1,214.56, 1,822.24 and 484.32

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Solution

The fourth proportional to 1,214.56, 1,822.24 and 484.32 is: 726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.56 : 1,822.24 = 484.32 : x
  2. Step 2: Convert to fraction form
    1,214.56/1,822.24 = 484.32/x
  3. Step 3: Cross multiply
    1,214.56x = 1,822.24 × 484.32
  4. Step 4: Simplify right side
    1,214.56x = 882,547.28
  5. Step 5: Solve for x
    x = 882,547.28/1,214.56
  6. Step 6: Final answer
    x = 726.64

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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.