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Finding the Fourth Proportional to 546.85, 820.29 and 456.19

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Solution

The fourth proportional to 546.85, 820.29 and 456.19 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.85 : 820.29 = 456.19 : x
  2. Step 2: Convert to fraction form
    546.85/820.29 = 456.19/x
  3. Step 3: Cross multiply
    546.85x = 820.29 × 456.19
  4. Step 4: Simplify right side
    546.85x = 374,208.10
  5. Step 5: Solve for x
    x = 374,208.10/546.85
  6. Step 6: Final answer
    x = 684.30

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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.