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Finding the Fourth Proportional to 719.77, 993.23 and 404.93

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Solution

The fourth proportional to 719.77, 993.23 and 404.93 is: 558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.77 : 993.23 = 404.93 : x
  2. Step 2: Convert to fraction form
    719.77/993.23 = 404.93/x
  3. Step 3: Cross multiply
    719.77x = 993.23 × 404.93
  4. Step 4: Simplify right side
    719.77x = 402,186.60
  5. Step 5: Solve for x
    x = 402,186.60/719.77
  6. Step 6: Final answer
    x = 558.77

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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.