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Finding the Fourth Proportional to 1,085.74, 1,628.71 and 392.51

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Solution

The fourth proportional to 1,085.74, 1,628.71 and 392.51 is: 588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.74 : 1,628.71 = 392.51 : x
  2. Step 2: Convert to fraction form
    1,085.74/1,628.71 = 392.51/x
  3. Step 3: Cross multiply
    1,085.74x = 1,628.71 × 392.51
  4. Step 4: Simplify right side
    1,085.74x = 639,288.05
  5. Step 5: Solve for x
    x = 639,288.05/1,085.74
  6. Step 6: Final answer
    x = 588.81

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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.