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Finding the Fourth Proportional to 1,377.67, 2,066.62 and 390.49

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Solution

The fourth proportional to 1,377.67, 2,066.62 and 390.49 is: 585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.67 : 2,066.62 = 390.49 : x
  2. Step 2: Convert to fraction form
    1,377.67/2,066.62 = 390.49/x
  3. Step 3: Cross multiply
    1,377.67x = 2,066.62 × 390.49
  4. Step 4: Simplify right side
    1,377.67x = 806,999.61
  5. Step 5: Solve for x
    x = 806,999.61/1,377.67
  6. Step 6: Final answer
    x = 585.77

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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.