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Finding the Fourth Proportional to 1,014.86, 1,522.12 and 284.27

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Solution

The fourth proportional to 1,014.86, 1,522.12 and 284.27 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.86 : 1,522.12 = 284.27 : x
  2. Step 2: Convert to fraction form
    1,014.86/1,522.12 = 284.27/x
  3. Step 3: Cross multiply
    1,014.86x = 1,522.12 × 284.27
  4. Step 4: Simplify right side
    1,014.86x = 432,693.05
  5. Step 5: Solve for x
    x = 432,693.05/1,014.86
  6. Step 6: Final answer
    x = 426.36

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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.