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Finding the Fourth Proportional to 719.18, 992.34 and 522.78

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Solution

The fourth proportional to 719.18, 992.34 and 522.78 is: 721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.18 : 992.34 = 522.78 : x
  2. Step 2: Convert to fraction form
    719.18/992.34 = 522.78/x
  3. Step 3: Cross multiply
    719.18x = 992.34 × 522.78
  4. Step 4: Simplify right side
    719.18x = 518,775.51
  5. Step 5: Solve for x
    x = 518,775.51/719.18
  6. Step 6: Final answer
    x = 721.34

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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.