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Finding the Fourth Proportional to 546.80, 818.64 and 417.30

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Solution

The fourth proportional to 546.80, 818.64 and 417.30 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 818.64 = 417.30 : x
  2. Step 2: Convert to fraction form
    546.80/818.64 = 417.30/x
  3. Step 3: Cross multiply
    546.80x = 818.64 × 417.30
  4. Step 4: Simplify right side
    546.80x = 341,618.47
  5. Step 5: Solve for x
    x = 341,618.47/546.80
  6. Step 6: Final answer
    x = 624.77

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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.