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Finding the Fourth Proportional to 722.57, 996.84 and 546.08

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Solution

The fourth proportional to 722.57, 996.84 and 546.08 is: 753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 996.84 = 546.08 : x
  2. Step 2: Convert to fraction form
    722.57/996.84 = 546.08/x
  3. Step 3: Cross multiply
    722.57x = 996.84 × 546.08
  4. Step 4: Simplify right side
    722.57x = 544,349.40
  5. Step 5: Solve for x
    x = 544,349.40/722.57
  6. Step 6: Final answer
    x = 753.36

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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.