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Finding the Fourth Proportional to 1,376.79, 2,066.44 and 857.80

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Solution

The fourth proportional to 1,376.79, 2,066.44 and 857.80 is: 1,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.79 : 2,066.44 = 857.80 : x
  2. Step 2: Convert to fraction form
    1,376.79/2,066.44 = 857.80/x
  3. Step 3: Cross multiply
    1,376.79x = 2,066.44 × 857.80
  4. Step 4: Simplify right side
    1,376.79x = 1,772,587.94
  5. Step 5: Solve for x
    x = 1,772,587.94/1,376.79
  6. Step 6: Final answer
    x = 1,287.48

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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.