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Finding the Fourth Proportional to 546, 752.22 and 405.88

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Solution

The fourth proportional to 546, 752.22 and 405.88 is: 559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 752.22 = 405.88 : x
  2. Step 2: Convert to fraction form
    546/752.22 = 405.88/x
  3. Step 3: Cross multiply
    546x = 752.22 × 405.88
  4. Step 4: Simplify right side
    546x = 305,311.05
  5. Step 5: Solve for x
    x = 305,311.05/546
  6. Step 6: Final answer
    x = 559.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.