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Finding the Fourth Proportional to 1,365.88, 2,048.94 and 392.08

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Solution

The fourth proportional to 1,365.88, 2,048.94 and 392.08 is: 588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.88 : 2,048.94 = 392.08 : x
  2. Step 2: Convert to fraction form
    1,365.88/2,048.94 = 392.08/x
  3. Step 3: Cross multiply
    1,365.88x = 2,048.94 × 392.08
  4. Step 4: Simplify right side
    1,365.88x = 803,348.40
  5. Step 5: Solve for x
    x = 803,348.40/1,365.88
  6. Step 6: Final answer
    x = 588.15

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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.