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Finding the Fourth Proportional to 546.58, 820.23 and 409.87

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Solution

The fourth proportional to 546.58, 820.23 and 409.87 is: 615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.58 : 820.23 = 409.87 : x
  2. Step 2: Convert to fraction form
    546.58/820.23 = 409.87/x
  3. Step 3: Cross multiply
    546.58x = 820.23 × 409.87
  4. Step 4: Simplify right side
    546.58x = 336,187.67
  5. Step 5: Solve for x
    x = 336,187.67/546.58
  6. Step 6: Final answer
    x = 615.07

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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.