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Finding the Fourth Proportional to 723.46, 996.69 and 591.70

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Solution

The fourth proportional to 723.46, 996.69 and 591.70 is: 815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.46 : 996.69 = 591.70 : x
  2. Step 2: Convert to fraction form
    723.46/996.69 = 591.70/x
  3. Step 3: Cross multiply
    723.46x = 996.69 × 591.70
  4. Step 4: Simplify right side
    723.46x = 589,741.47
  5. Step 5: Solve for x
    x = 589,741.47/723.46
  6. Step 6: Final answer
    x = 815.17

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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.