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Finding the Fourth Proportional to 1,116.81, 1,674.63 and 386.19

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Solution

The fourth proportional to 1,116.81, 1,674.63 and 386.19 is: 579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.81 : 1,674.63 = 386.19 : x
  2. Step 2: Convert to fraction form
    1,116.81/1,674.63 = 386.19/x
  3. Step 3: Cross multiply
    1,116.81x = 1,674.63 × 386.19
  4. Step 4: Simplify right side
    1,116.81x = 646,725.36
  5. Step 5: Solve for x
    x = 646,725.36/1,116.81
  6. Step 6: Final answer
    x = 579.08

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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.