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Finding the Fourth Proportional to 719.75, 994.07 and 486.47

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Solution

The fourth proportional to 719.75, 994.07 and 486.47 is: 671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.75 : 994.07 = 486.47 : x
  2. Step 2: Convert to fraction form
    719.75/994.07 = 486.47/x
  3. Step 3: Cross multiply
    719.75x = 994.07 × 486.47
  4. Step 4: Simplify right side
    719.75x = 483,585.23
  5. Step 5: Solve for x
    x = 483,585.23/719.75
  6. Step 6: Final answer
    x = 671.88

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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.