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Finding the Fourth Proportional to 722.96, 996.69 and 457.27

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Solution

The fourth proportional to 722.96, 996.69 and 457.27 is: 630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 996.69 = 457.27 : x
  2. Step 2: Convert to fraction form
    722.96/996.69 = 457.27/x
  3. Step 3: Cross multiply
    722.96x = 996.69 × 457.27
  4. Step 4: Simplify right side
    722.96x = 455,757.82
  5. Step 5: Solve for x
    x = 455,757.82/722.96
  6. Step 6: Final answer
    x = 630.40

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1.5x scale

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.