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Finding the Fourth Proportional to 1,014.68, 1,522.09 and 284.31

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Solution

The fourth proportional to 1,014.68, 1,522.09 and 284.31 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.68 : 1,522.09 = 284.31 : x
  2. Step 2: Convert to fraction form
    1,014.68/1,522.09 = 284.31/x
  3. Step 3: Cross multiply
    1,014.68x = 1,522.09 × 284.31
  4. Step 4: Simplify right side
    1,014.68x = 432,745.76
  5. Step 5: Solve for x
    x = 432,745.76/1,014.68
  6. Step 6: Final answer
    x = 426.49

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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.