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Finding the Fourth Proportional to 546.59, 820.01 and 495.56

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Solution

The fourth proportional to 546.59, 820.01 and 495.56 is: 743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.59 : 820.01 = 495.56 : x
  2. Step 2: Convert to fraction form
    546.59/820.01 = 495.56/x
  3. Step 3: Cross multiply
    546.59x = 820.01 × 495.56
  4. Step 4: Simplify right side
    546.59x = 406,364.16
  5. Step 5: Solve for x
    x = 406,364.16/546.59
  6. Step 6: Final answer
    x = 743.45

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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.