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Finding the Fourth Proportional to 1,387.80, 2,080.34 and 693.43

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Solution

The fourth proportional to 1,387.80, 2,080.34 and 693.43 is: 1,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.80 : 2,080.34 = 693.43 : x
  2. Step 2: Convert to fraction form
    1,387.80/2,080.34 = 693.43/x
  3. Step 3: Cross multiply
    1,387.80x = 2,080.34 × 693.43
  4. Step 4: Simplify right side
    1,387.80x = 1,442,564.10
  5. Step 5: Solve for x
    x = 1,442,564.10/1,387.80
  6. Step 6: Final answer
    x = 1,039.46

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1.5x scale

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.