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Finding the Fourth Proportional to 722.52, 996.30 and 653.40

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Solution

The fourth proportional to 722.52, 996.30 and 653.40 is: 900.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 996.30 = 653.40 : x
  2. Step 2: Convert to fraction form
    722.52/996.30 = 653.40/x
  3. Step 3: Cross multiply
    722.52x = 996.30 × 653.40
  4. Step 4: Simplify right side
    722.52x = 650,982.42
  5. Step 5: Solve for x
    x = 650,982.42/722.52
  6. Step 6: Final answer
    x = 900.99

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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.