Home / 1,145.28-1,716.90-414.70

Finding the Fourth Proportional to 1,145.28, 1,716.90 and 414.70

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Solution

The fourth proportional to 1,145.28, 1,716.90 and 414.70 is: 621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.28 : 1,716.90 = 414.70 : x
  2. Step 2: Convert to fraction form
    1,145.28/1,716.90 = 414.70/x
  3. Step 3: Cross multiply
    1,145.28x = 1,716.90 × 414.70
  4. Step 4: Simplify right side
    1,145.28x = 711,998.43
  5. Step 5: Solve for x
    x = 711,998.43/1,145.28
  6. Step 6: Final answer
    x = 621.68

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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.