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Finding the Fourth Proportional to 1,365.99, 2,049.31 and 392.08

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Solution

The fourth proportional to 1,365.99, 2,049.31 and 392.08 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.99 : 2,049.31 = 392.08 : x
  2. Step 2: Convert to fraction form
    1,365.99/2,049.31 = 392.08/x
  3. Step 3: Cross multiply
    1,365.99x = 2,049.31 × 392.08
  4. Step 4: Simplify right side
    1,365.99x = 803,487.36
  5. Step 5: Solve for x
    x = 803,487.36/1,365.99
  6. Step 6: Final answer
    x = 588.21

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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.