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Finding the Fourth Proportional to 1,080.15, 1,489.64 and 686.49

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Solution

The fourth proportional to 1,080.15, 1,489.64 and 686.49 is: 946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.15 : 1,489.64 = 686.49 : x
  2. Step 2: Convert to fraction form
    1,080.15/1,489.64 = 686.49/x
  3. Step 3: Cross multiply
    1,080.15x = 1,489.64 × 686.49
  4. Step 4: Simplify right side
    1,080.15x = 1,022,619.53
  5. Step 5: Solve for x
    x = 1,022,619.53/1,080.15
  6. Step 6: Final answer
    x = 946.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.