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Finding the Fourth Proportional to 1,520.69, 2,281.94 and 546.86

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Solution

The fourth proportional to 1,520.69, 2,281.94 and 546.86 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.69 : 2,281.94 = 546.86 : x
  2. Step 2: Convert to fraction form
    1,520.69/2,281.94 = 546.86/x
  3. Step 3: Cross multiply
    1,520.69x = 2,281.94 × 546.86
  4. Step 4: Simplify right side
    1,520.69x = 1,247,887.56
  5. Step 5: Solve for x
    x = 1,247,887.56/1,520.69
  6. Step 6: Final answer
    x = 820.61

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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.