Home / 1,516.25-2,274.10-420.70

Finding the Fourth Proportional to 1,516.25, 2,274.10 and 420.70

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Solution

The fourth proportional to 1,516.25, 2,274.10 and 420.70 is: 630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.25 : 2,274.10 = 420.70 : x
  2. Step 2: Convert to fraction form
    1,516.25/2,274.10 = 420.70/x
  3. Step 3: Cross multiply
    1,516.25x = 2,274.10 × 420.70
  4. Step 4: Simplify right side
    1,516.25x = 956,713.87
  5. Step 5: Solve for x
    x = 956,713.87/1,516.25
  6. Step 6: Final answer
    x = 630.97

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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.