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Finding the Fourth Proportional to 1,377.68, 2,066.27 and 403.55

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Solution

The fourth proportional to 1,377.68, 2,066.27 and 403.55 is: 605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.68 : 2,066.27 = 403.55 : x
  2. Step 2: Convert to fraction form
    1,377.68/2,066.27 = 403.55/x
  3. Step 3: Cross multiply
    1,377.68x = 2,066.27 × 403.55
  4. Step 4: Simplify right side
    1,377.68x = 833,849.43
  5. Step 5: Solve for x
    x = 833,849.43/1,377.68
  6. Step 6: Final answer
    x = 605.26

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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.