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Finding the Fourth Proportional to 546.03, 817.47 and 422.51

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Solution

The fourth proportional to 546.03, 817.47 and 422.51 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.03 : 817.47 = 422.51 : x
  2. Step 2: Convert to fraction form
    546.03/817.47 = 422.51/x
  3. Step 3: Cross multiply
    546.03x = 817.47 × 422.51
  4. Step 4: Simplify right side
    546.03x = 345,385.16
  5. Step 5: Solve for x
    x = 345,385.16/546.03
  6. Step 6: Final answer
    x = 632.54

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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.