Home / 1,014.40-1,521.60-284.10

Finding the Fourth Proportional to 1,014.40, 1,521.60 and 284.10

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Solution

The fourth proportional to 1,014.40, 1,521.60 and 284.10 is: 426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.40 : 1,521.60 = 284.10 : x
  2. Step 2: Convert to fraction form
    1,014.40/1,521.60 = 284.10/x
  3. Step 3: Cross multiply
    1,014.40x = 1,521.60 × 284.10
  4. Step 4: Simplify right side
    1,014.40x = 432,286.56
  5. Step 5: Solve for x
    x = 432,286.56/1,014.40
  6. Step 6: Final answer
    x = 426.15

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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.