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Finding the Fourth Proportional to 719.68, 993.16 and 404.95

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Solution

The fourth proportional to 719.68, 993.16 and 404.95 is: 558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.68 : 993.16 = 404.95 : x
  2. Step 2: Convert to fraction form
    719.68/993.16 = 404.95/x
  3. Step 3: Cross multiply
    719.68x = 993.16 × 404.95
  4. Step 4: Simplify right side
    719.68x = 402,180.14
  5. Step 5: Solve for x
    x = 402,180.14/719.68
  6. Step 6: Final answer
    x = 558.83

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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.