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Finding the Fourth Proportional to 546.46, 817.85 and 459.90

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Solution

The fourth proportional to 546.46, 817.85 and 459.90 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.46 : 817.85 = 459.90 : x
  2. Step 2: Convert to fraction form
    546.46/817.85 = 459.90/x
  3. Step 3: Cross multiply
    546.46x = 817.85 × 459.90
  4. Step 4: Simplify right side
    546.46x = 376,129.22
  5. Step 5: Solve for x
    x = 376,129.22/546.46
  6. Step 6: Final answer
    x = 688.30

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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.