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Finding the Fourth Proportional to 719.95, 993.21 and 470.83

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Solution

The fourth proportional to 719.95, 993.21 and 470.83 is: 649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.95 : 993.21 = 470.83 : x
  2. Step 2: Convert to fraction form
    719.95/993.21 = 470.83/x
  3. Step 3: Cross multiply
    719.95x = 993.21 × 470.83
  4. Step 4: Simplify right side
    719.95x = 467,633.06
  5. Step 5: Solve for x
    x = 467,633.06/719.95
  6. Step 6: Final answer
    x = 649.54

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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.