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Finding the Fourth Proportional to 719.93, 993.45 and 471.74

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Solution

The fourth proportional to 719.93, 993.45 and 471.74 is: 650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.93 : 993.45 = 471.74 : x
  2. Step 2: Convert to fraction form
    719.93/993.45 = 471.74/x
  3. Step 3: Cross multiply
    719.93x = 993.45 × 471.74
  4. Step 4: Simplify right side
    719.93x = 468,650.10
  5. Step 5: Solve for x
    x = 468,650.10/719.93
  6. Step 6: Final answer
    x = 650.97

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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.