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Finding the Fourth Proportional to 546.05, 814.46 and 458.36

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Solution

The fourth proportional to 546.05, 814.46 and 458.36 is: 683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.05 : 814.46 = 458.36 : x
  2. Step 2: Convert to fraction form
    546.05/814.46 = 458.36/x
  3. Step 3: Cross multiply
    546.05x = 814.46 × 458.36
  4. Step 4: Simplify right side
    546.05x = 373,311.24
  5. Step 5: Solve for x
    x = 373,311.24/546.05
  6. Step 6: Final answer
    x = 683.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.