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Finding the Fourth Proportional to 1,387.40, 2,080.65 and 462.80

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Solution

The fourth proportional to 1,387.40, 2,080.65 and 462.80 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.40 : 2,080.65 = 462.80 : x
  2. Step 2: Convert to fraction form
    1,387.40/2,080.65 = 462.80/x
  3. Step 3: Cross multiply
    1,387.40x = 2,080.65 × 462.80
  4. Step 4: Simplify right side
    1,387.40x = 962,924.82
  5. Step 5: Solve for x
    x = 962,924.82/1,387.40
  6. Step 6: Final answer
    x = 694.05

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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.