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Finding the Fourth Proportional to 722.03, 992.30 and 649.13

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Solution

The fourth proportional to 722.03, 992.30 and 649.13 is: 892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.03 : 992.30 = 649.13 : x
  2. Step 2: Convert to fraction form
    722.03/992.30 = 649.13/x
  3. Step 3: Cross multiply
    722.03x = 992.30 × 649.13
  4. Step 4: Simplify right side
    722.03x = 644,123.49
  5. Step 5: Solve for x
    x = 644,123.49/722.03
  6. Step 6: Final answer
    x = 892.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.