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Finding the Fourth Proportional to 546.48, 823.86 and 486.36

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Solution

The fourth proportional to 546.48, 823.86 and 486.36 is: 733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 823.86 = 486.36 : x
  2. Step 2: Convert to fraction form
    546.48/823.86 = 486.36/x
  3. Step 3: Cross multiply
    546.48x = 823.86 × 486.36
  4. Step 4: Simplify right side
    546.48x = 400,692.55
  5. Step 5: Solve for x
    x = 400,692.55/546.48
  6. Step 6: Final answer
    x = 733.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.