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Finding the Fourth Proportional to 1,478.38, 2,218.38 and 554.56

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Solution

The fourth proportional to 1,478.38, 2,218.38 and 554.56 is: 832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.38 : 2,218.38 = 554.56 : x
  2. Step 2: Convert to fraction form
    1,478.38/2,218.38 = 554.56/x
  3. Step 3: Cross multiply
    1,478.38x = 2,218.38 × 554.56
  4. Step 4: Simplify right side
    1,478.38x = 1,230,224.81
  5. Step 5: Solve for x
    x = 1,230,224.81/1,478.38
  6. Step 6: Final answer
    x = 832.14

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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.