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Finding the Fourth Proportional to 1,011.50, 1,517.30 and 994.24

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Solution

The fourth proportional to 1,011.50, 1,517.30 and 994.24 is: 1,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.50 : 1,517.30 = 994.24 : x
  2. Step 2: Convert to fraction form
    1,011.50/1,517.30 = 994.24/x
  3. Step 3: Cross multiply
    1,011.50x = 1,517.30 × 994.24
  4. Step 4: Simplify right side
    1,011.50x = 1,508,561.01
  5. Step 5: Solve for x
    x = 1,508,561.01/1,011.50
  6. Step 6: Final answer
    x = 1,491.41

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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.