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Finding the Fourth Proportional to 1,516.94, 2,275.15 and 421.41

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Solution

The fourth proportional to 1,516.94, 2,275.15 and 421.41 is: 632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.94 : 2,275.15 = 421.41 : x
  2. Step 2: Convert to fraction form
    1,516.94/2,275.15 = 421.41/x
  3. Step 3: Cross multiply
    1,516.94x = 2,275.15 × 421.41
  4. Step 4: Simplify right side
    1,516.94x = 958,770.96
  5. Step 5: Solve for x
    x = 958,770.96/1,516.94
  6. Step 6: Final answer
    x = 632.04

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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.