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Finding the Fourth Proportional to 1,085.49, 1,627.90 and 392.07

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Solution

The fourth proportional to 1,085.49, 1,627.90 and 392.07 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.49 : 1,627.90 = 392.07 : x
  2. Step 2: Convert to fraction form
    1,085.49/1,627.90 = 392.07/x
  3. Step 3: Cross multiply
    1,085.49x = 1,627.90 × 392.07
  4. Step 4: Simplify right side
    1,085.49x = 638,255.80
  5. Step 5: Solve for x
    x = 638,255.80/1,085.49
  6. Step 6: Final answer
    x = 587.99

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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.