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Finding the Fourth Proportional to 1,116.33, 1,669.70 and 804.68

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Solution

The fourth proportional to 1,116.33, 1,669.70 and 804.68 is: 1,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.33 : 1,669.70 = 804.68 : x
  2. Step 2: Convert to fraction form
    1,116.33/1,669.70 = 804.68/x
  3. Step 3: Cross multiply
    1,116.33x = 1,669.70 × 804.68
  4. Step 4: Simplify right side
    1,116.33x = 1,343,574.20
  5. Step 5: Solve for x
    x = 1,343,574.20/1,116.33
  6. Step 6: Final answer
    x = 1,203.57

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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.