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Finding the Fourth Proportional to 1,366.93, 2,050.17 and 379.81

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Solution

The fourth proportional to 1,366.93, 2,050.17 and 379.81 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.93 : 2,050.17 = 379.81 : x
  2. Step 2: Convert to fraction form
    1,366.93/2,050.17 = 379.81/x
  3. Step 3: Cross multiply
    1,366.93x = 2,050.17 × 379.81
  4. Step 4: Simplify right side
    1,366.93x = 778,675.07
  5. Step 5: Solve for x
    x = 778,675.07/1,366.93
  6. Step 6: Final answer
    x = 569.65

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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.