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Finding the Fourth Proportional to 719.84, 993.34 and 405.11

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Solution

The fourth proportional to 719.84, 993.34 and 405.11 is: 559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.84 : 993.34 = 405.11 : x
  2. Step 2: Convert to fraction form
    719.84/993.34 = 405.11/x
  3. Step 3: Cross multiply
    719.84x = 993.34 × 405.11
  4. Step 4: Simplify right side
    719.84x = 402,411.97
  5. Step 5: Solve for x
    x = 402,411.97/719.84
  6. Step 6: Final answer
    x = 559.03

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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.