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Finding the Fourth Proportional to 722.36, 996.84 and 407.60

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Solution

The fourth proportional to 722.36, 996.84 and 407.60 is: 562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.36 : 996.84 = 407.60 : x
  2. Step 2: Convert to fraction form
    722.36/996.84 = 407.60/x
  3. Step 3: Cross multiply
    722.36x = 996.84 × 407.60
  4. Step 4: Simplify right side
    722.36x = 406,307.00
  5. Step 5: Solve for x
    x = 406,307.00/722.36
  6. Step 6: Final answer
    x = 562.48

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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.