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Finding the Fourth Proportional to 722.68, 996.52 and 473.92

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Solution

The fourth proportional to 722.68, 996.52 and 473.92 is: 653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.68 : 996.52 = 473.92 : x
  2. Step 2: Convert to fraction form
    722.68/996.52 = 473.92/x
  3. Step 3: Cross multiply
    722.68x = 996.52 × 473.92
  4. Step 4: Simplify right side
    722.68x = 472,270.76
  5. Step 5: Solve for x
    x = 472,270.76/722.68
  6. Step 6: Final answer
    x = 653.50

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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.