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Finding the Fourth Proportional to 719.46, 993.28 and 470.66

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Solution

The fourth proportional to 719.46, 993.28 and 470.66 is: 649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.46 : 993.28 = 470.66 : x
  2. Step 2: Convert to fraction form
    719.46/993.28 = 470.66/x
  3. Step 3: Cross multiply
    719.46x = 993.28 × 470.66
  4. Step 4: Simplify right side
    719.46x = 467,497.16
  5. Step 5: Solve for x
    x = 467,497.16/719.46
  6. Step 6: Final answer
    x = 649.79

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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.