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Finding the Fourth Proportional to 540.64, 811.70 and 280.82

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Solution

The fourth proportional to 540.64, 811.70 and 280.82 is: 421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 811.70 = 280.82 : x
  2. Step 2: Convert to fraction form
    540.64/811.70 = 280.82/x
  3. Step 3: Cross multiply
    540.64x = 811.70 × 280.82
  4. Step 4: Simplify right side
    540.64x = 227,941.59
  5. Step 5: Solve for x
    x = 227,941.59/540.64
  6. Step 6: Final answer
    x = 421.61

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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.