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Finding the Fourth Proportional to 1,401.92, 1,934.59 and 804.00

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Solution

The fourth proportional to 1,401.92, 1,934.59 and 804.00 is: 1,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.92 : 1,934.59 = 804.00 : x
  2. Step 2: Convert to fraction form
    1,401.92/1,934.59 = 804.00/x
  3. Step 3: Cross multiply
    1,401.92x = 1,934.59 × 804.00
  4. Step 4: Simplify right side
    1,401.92x = 1,555,398.53
  5. Step 5: Solve for x
    x = 1,555,398.53/1,401.92
  6. Step 6: Final answer
    x = 1,109.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.