Home / 1,522.04-2,282.81-426.15

Finding the Fourth Proportional to 1,522.04, 2,282.81 and 426.15

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Solution

The fourth proportional to 1,522.04, 2,282.81 and 426.15 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.04 : 2,282.81 = 426.15 : x
  2. Step 2: Convert to fraction form
    1,522.04/2,282.81 = 426.15/x
  3. Step 3: Cross multiply
    1,522.04x = 2,282.81 × 426.15
  4. Step 4: Simplify right side
    1,522.04x = 972,819.48
  5. Step 5: Solve for x
    x = 972,819.48/1,522.04
  6. Step 6: Final answer
    x = 639.16

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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.