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Finding the Fourth Proportional to 1,392.25, 2,085.81 and 698.13

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Solution

The fourth proportional to 1,392.25, 2,085.81 and 698.13 is: 1,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.25 : 2,085.81 = 698.13 : x
  2. Step 2: Convert to fraction form
    1,392.25/2,085.81 = 698.13/x
  3. Step 3: Cross multiply
    1,392.25x = 2,085.81 × 698.13
  4. Step 4: Simplify right side
    1,392.25x = 1,456,166.54
  5. Step 5: Solve for x
    x = 1,456,166.54/1,392.25
  6. Step 6: Final answer
    x = 1,045.91

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1.5x scale

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.