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Finding the Fourth Proportional to 1,386.93, 2,080.79 and 463.09

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Solution

The fourth proportional to 1,386.93, 2,080.79 and 463.09 is: 694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.93 : 2,080.79 = 463.09 : x
  2. Step 2: Convert to fraction form
    1,386.93/2,080.79 = 463.09/x
  3. Step 3: Cross multiply
    1,386.93x = 2,080.79 × 463.09
  4. Step 4: Simplify right side
    1,386.93x = 963,591.88
  5. Step 5: Solve for x
    x = 963,591.88/1,386.93
  6. Step 6: Final answer
    x = 694.77

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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.