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Finding the Fourth Proportional to 1,419.13, 2,129.78 and 553.51

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Solution

The fourth proportional to 1,419.13, 2,129.78 and 553.51 is: 830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.13 : 2,129.78 = 553.51 : x
  2. Step 2: Convert to fraction form
    1,419.13/2,129.78 = 553.51/x
  3. Step 3: Cross multiply
    1,419.13x = 2,129.78 × 553.51
  4. Step 4: Simplify right side
    1,419.13x = 1,178,854.53
  5. Step 5: Solve for x
    x = 1,178,854.53/1,419.13
  6. Step 6: Final answer
    x = 830.69

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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.