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Finding the Fourth Proportional to 722.88, 997.68 and 461.64

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Solution

The fourth proportional to 722.88, 997.68 and 461.64 is: 637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 997.68 = 461.64 : x
  2. Step 2: Convert to fraction form
    722.88/997.68 = 461.64/x
  3. Step 3: Cross multiply
    722.88x = 997.68 × 461.64
  4. Step 4: Simplify right side
    722.88x = 460,569.00
  5. Step 5: Solve for x
    x = 460,569.00/722.88
  6. Step 6: Final answer
    x = 637.13

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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.