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Finding the Fourth Proportional to 1,085.81, 1,628.71 and 392.47

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Solution

The fourth proportional to 1,085.81, 1,628.71 and 392.47 is: 588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.81 : 1,628.71 = 392.47 : x
  2. Step 2: Convert to fraction form
    1,085.81/1,628.71 = 392.47/x
  3. Step 3: Cross multiply
    1,085.81x = 1,628.71 × 392.47
  4. Step 4: Simplify right side
    1,085.81x = 639,218.83
  5. Step 5: Solve for x
    x = 639,218.83/1,085.81
  6. Step 6: Final answer
    x = 588.71

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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.