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Finding the Fourth Proportional to 719.47, 992.88 and 471.21

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Solution

The fourth proportional to 719.47, 992.88 and 471.21 is: 650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.47 : 992.88 = 471.21 : x
  2. Step 2: Convert to fraction form
    719.47/992.88 = 471.21/x
  3. Step 3: Cross multiply
    719.47x = 992.88 × 471.21
  4. Step 4: Simplify right side
    719.47x = 467,847.66
  5. Step 5: Solve for x
    x = 467,847.66/719.47
  6. Step 6: Final answer
    x = 650.27

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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.