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Finding the Fourth Proportional to 722.64, 998.07 and 527.02

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Solution

The fourth proportional to 722.64, 998.07 and 527.02 is: 727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 998.07 = 527.02 : x
  2. Step 2: Convert to fraction form
    722.64/998.07 = 527.02/x
  3. Step 3: Cross multiply
    722.64x = 998.07 × 527.02
  4. Step 4: Simplify right side
    722.64x = 526,002.85
  5. Step 5: Solve for x
    x = 526,002.85/722.64
  6. Step 6: Final answer
    x = 727.89

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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.