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Finding the Fourth Proportional to 719.96, 993.53 and 409.46

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Solution

The fourth proportional to 719.96, 993.53 and 409.46 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.96 : 993.53 = 409.46 : x
  2. Step 2: Convert to fraction form
    719.96/993.53 = 409.46/x
  3. Step 3: Cross multiply
    719.96x = 993.53 × 409.46
  4. Step 4: Simplify right side
    719.96x = 406,810.79
  5. Step 5: Solve for x
    x = 406,810.79/719.96
  6. Step 6: Final answer
    x = 565.05

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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.