Home / 1,522.47-2,285.33-945.75

Finding the Fourth Proportional to 1,522.47, 2,285.33 and 945.75

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Solution

The fourth proportional to 1,522.47, 2,285.33 and 945.75 is: 1,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.47 : 2,285.33 = 945.75 : x
  2. Step 2: Convert to fraction form
    1,522.47/2,285.33 = 945.75/x
  3. Step 3: Cross multiply
    1,522.47x = 2,285.33 × 945.75
  4. Step 4: Simplify right side
    1,522.47x = 2,161,346.12
  5. Step 5: Solve for x
    x = 2,161,346.12/1,522.47
  6. Step 6: Final answer
    x = 1,419.63

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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.