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Finding the Fourth Proportional to 1,394.31, 2,090.71 and 571.66

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Solution

The fourth proportional to 1,394.31, 2,090.71 and 571.66 is: 857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.31 : 2,090.71 = 571.66 : x
  2. Step 2: Convert to fraction form
    1,394.31/2,090.71 = 571.66/x
  3. Step 3: Cross multiply
    1,394.31x = 2,090.71 × 571.66
  4. Step 4: Simplify right side
    1,394.31x = 1,195,170.77
  5. Step 5: Solve for x
    x = 1,195,170.77/1,394.31
  6. Step 6: Final answer
    x = 857.17

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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.