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Finding the Fourth Proportional to 722.40, 1,001.22 and 649.50

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Solution

The fourth proportional to 722.40, 1,001.22 and 649.50 is: 900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 1,001.22 = 649.50 : x
  2. Step 2: Convert to fraction form
    722.40/1,001.22 = 649.50/x
  3. Step 3: Cross multiply
    722.40x = 1,001.22 × 649.50
  4. Step 4: Simplify right side
    722.40x = 650,292.39
  5. Step 5: Solve for x
    x = 650,292.39/722.40
  6. Step 6: Final answer
    x = 900.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.