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Finding the Fourth Proportional to 994.68, 1,492.20 and 447.12

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Solution

The fourth proportional to 994.68, 1,492.20 and 447.12 is: 670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,492.20 = 447.12 : x
  2. Step 2: Convert to fraction form
    994.68/1,492.20 = 447.12/x
  3. Step 3: Cross multiply
    994.68x = 1,492.20 × 447.12
  4. Step 4: Simplify right side
    994.68x = 667,192.46
  5. Step 5: Solve for x
    x = 667,192.46/994.68
  6. Step 6: Final answer
    x = 670.76

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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.