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Finding the Fourth Proportional to 1,390.49, 2,086.31 and 610.09

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Solution

The fourth proportional to 1,390.49, 2,086.31 and 610.09 is: 915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.49 : 2,086.31 = 610.09 : x
  2. Step 2: Convert to fraction form
    1,390.49/2,086.31 = 610.09/x
  3. Step 3: Cross multiply
    1,390.49x = 2,086.31 × 610.09
  4. Step 4: Simplify right side
    1,390.49x = 1,272,833.18
  5. Step 5: Solve for x
    x = 1,272,833.18/1,390.49
  6. Step 6: Final answer
    x = 915.39

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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.