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Finding the Fourth Proportional to 1,085.67, 1,628.19 and 392.31

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Solution

The fourth proportional to 1,085.67, 1,628.19 and 392.31 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.67 : 1,628.19 = 392.31 : x
  2. Step 2: Convert to fraction form
    1,085.67/1,628.19 = 392.31/x
  3. Step 3: Cross multiply
    1,085.67x = 1,628.19 × 392.31
  4. Step 4: Simplify right side
    1,085.67x = 638,755.22
  5. Step 5: Solve for x
    x = 638,755.22/1,085.67
  6. Step 6: Final answer
    x = 588.35

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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.