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Finding the Fourth Proportional to 1,116.80, 1,674.12 and 386.18

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Solution

The fourth proportional to 1,116.80, 1,674.12 and 386.18 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.80 : 1,674.12 = 386.18 : x
  2. Step 2: Convert to fraction form
    1,116.80/1,674.12 = 386.18/x
  3. Step 3: Cross multiply
    1,116.80x = 1,674.12 × 386.18
  4. Step 4: Simplify right side
    1,116.80x = 646,511.66
  5. Step 5: Solve for x
    x = 646,511.66/1,116.80
  6. Step 6: Final answer
    x = 578.90

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Double scale
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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.