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Finding the Fourth Proportional to 1,386.43, 2,080.11 and 462.08

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Solution

The fourth proportional to 1,386.43, 2,080.11 and 462.08 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.43 : 2,080.11 = 462.08 : x
  2. Step 2: Convert to fraction form
    1,386.43/2,080.11 = 462.08/x
  3. Step 3: Cross multiply
    1,386.43x = 2,080.11 × 462.08
  4. Step 4: Simplify right side
    1,386.43x = 961,177.23
  5. Step 5: Solve for x
    x = 961,177.23/1,386.43
  6. Step 6: Final answer
    x = 693.28

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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.