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Finding the Fourth Proportional to 1,301.65, 1,796.28 and 804.17

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Solution

The fourth proportional to 1,301.65, 1,796.28 and 804.17 is: 1,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.65 : 1,796.28 = 804.17 : x
  2. Step 2: Convert to fraction form
    1,301.65/1,796.28 = 804.17/x
  3. Step 3: Cross multiply
    1,301.65x = 1,796.28 × 804.17
  4. Step 4: Simplify right side
    1,301.65x = 1,444,515.96
  5. Step 5: Solve for x
    x = 1,444,515.96/1,301.65
  6. Step 6: Final answer
    x = 1,109.76

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Why These Related Problems?

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