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Finding the Fourth Proportional to 1,419.61, 2,128.16 and 553.31

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Solution

The fourth proportional to 1,419.61, 2,128.16 and 553.31 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.61 : 2,128.16 = 553.31 : x
  2. Step 2: Convert to fraction form
    1,419.61/2,128.16 = 553.31/x
  3. Step 3: Cross multiply
    1,419.61x = 2,128.16 × 553.31
  4. Step 4: Simplify right side
    1,419.61x = 1,177,538.91
  5. Step 5: Solve for x
    x = 1,177,538.91/1,419.61
  6. Step 6: Final answer
    x = 829.48

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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.