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Finding the Fourth Proportional to 1,419.68, 2,128.08 and 552.80

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Solution

The fourth proportional to 1,419.68, 2,128.08 and 552.80 is: 828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.68 : 2,128.08 = 552.80 : x
  2. Step 2: Convert to fraction form
    1,419.68/2,128.08 = 552.80/x
  3. Step 3: Cross multiply
    1,419.68x = 2,128.08 × 552.80
  4. Step 4: Simplify right side
    1,419.68x = 1,176,402.62
  5. Step 5: Solve for x
    x = 1,176,402.62/1,419.68
  6. Step 6: Final answer
    x = 828.64

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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.