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Finding the Fourth Proportional to 722.49, 1,076.93 and 644.00

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Solution

The fourth proportional to 722.49, 1,076.93 and 644.00 is: 959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.49 : 1,076.93 = 644.00 : x
  2. Step 2: Convert to fraction form
    722.49/1,076.93 = 644.00/x
  3. Step 3: Cross multiply
    722.49x = 1,076.93 × 644.00
  4. Step 4: Simplify right side
    722.49x = 693,534.32
  5. Step 5: Solve for x
    x = 693,534.32/722.49
  6. Step 6: Final answer
    x = 959.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.