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Finding the Fourth Proportional to 719.48, 993.96 and 573.68

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Solution

The fourth proportional to 719.48, 993.96 and 573.68 is: 792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.48 : 993.96 = 573.68 : x
  2. Step 2: Convert to fraction form
    719.48/993.96 = 573.68/x
  3. Step 3: Cross multiply
    719.48x = 993.96 × 573.68
  4. Step 4: Simplify right side
    719.48x = 570,207.13
  5. Step 5: Solve for x
    x = 570,207.13/719.48
  6. Step 6: Final answer
    x = 792.53

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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.