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Finding the Fourth Proportional to 1,502.99, 2,259.97 and 1,382.70

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Solution

The fourth proportional to 1,502.99, 2,259.97 and 1,382.70 is: 2,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.99 : 2,259.97 = 1,382.70 : x
  2. Step 2: Convert to fraction form
    1,502.99/2,259.97 = 1,382.70/x
  3. Step 3: Cross multiply
    1,502.99x = 2,259.97 × 1,382.70
  4. Step 4: Simplify right side
    1,502.99x = 3,124,865.54
  5. Step 5: Solve for x
    x = 3,124,865.54/1,502.99
  6. Step 6: Final answer
    x = 2,079.10

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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.