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Finding the Fourth Proportional to 719.72, 992.36 and 614.46

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Solution

The fourth proportional to 719.72, 992.36 and 614.46 is: 847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.72 : 992.36 = 614.46 : x
  2. Step 2: Convert to fraction form
    719.72/992.36 = 614.46/x
  3. Step 3: Cross multiply
    719.72x = 992.36 × 614.46
  4. Step 4: Simplify right side
    719.72x = 609,767.06
  5. Step 5: Solve for x
    x = 609,767.06/719.72
  6. Step 6: Final answer
    x = 847.23

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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.