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Finding the Fourth Proportional to 722.58, 1,076.20 and 677.64

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Solution

The fourth proportional to 722.58, 1,076.20 and 677.64 is: 1,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.58 : 1,076.20 = 677.64 : x
  2. Step 2: Convert to fraction form
    722.58/1,076.20 = 677.64/x
  3. Step 3: Cross multiply
    722.58x = 1,076.20 × 677.64
  4. Step 4: Simplify right side
    722.58x = 729,276.17
  5. Step 5: Solve for x
    x = 729,276.17/722.58
  6. Step 6: Final answer
    x = 1,009.27

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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.