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Finding the Fourth Proportional to 1,254.96, 1,882.62 and 433.44

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Solution

The fourth proportional to 1,254.96, 1,882.62 and 433.44 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.96 : 1,882.62 = 433.44 : x
  2. Step 2: Convert to fraction form
    1,254.96/1,882.62 = 433.44/x
  3. Step 3: Cross multiply
    1,254.96x = 1,882.62 × 433.44
  4. Step 4: Simplify right side
    1,254.96x = 816,002.81
  5. Step 5: Solve for x
    x = 816,002.81/1,254.96
  6. Step 6: Final answer
    x = 650.22

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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.