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Finding the Fourth Proportional to 722.49, 996.77 and 456.95

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Solution

The fourth proportional to 722.49, 996.77 and 456.95 is: 630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.49 : 996.77 = 456.95 : x
  2. Step 2: Convert to fraction form
    722.49/996.77 = 456.95/x
  3. Step 3: Cross multiply
    722.49x = 996.77 × 456.95
  4. Step 4: Simplify right side
    722.49x = 455,474.05
  5. Step 5: Solve for x
    x = 455,474.05/722.49
  6. Step 6: Final answer
    x = 630.42

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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.