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Finding the Fourth Proportional to 1,419.67, 2,128.24 and 553.78

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Solution

The fourth proportional to 1,419.67, 2,128.24 and 553.78 is: 830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.67 : 2,128.24 = 553.78 : x
  2. Step 2: Convert to fraction form
    1,419.67/2,128.24 = 553.78/x
  3. Step 3: Cross multiply
    1,419.67x = 2,128.24 × 553.78
  4. Step 4: Simplify right side
    1,419.67x = 1,178,576.75
  5. Step 5: Solve for x
    x = 1,178,576.75/1,419.67
  6. Step 6: Final answer
    x = 830.18

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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.