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Finding the Fourth Proportional to 719.46, 991.98 and 522.90

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Solution

The fourth proportional to 719.46, 991.98 and 522.90 is: 720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.46 : 991.98 = 522.90 : x
  2. Step 2: Convert to fraction form
    719.46/991.98 = 522.90/x
  3. Step 3: Cross multiply
    719.46x = 991.98 × 522.90
  4. Step 4: Simplify right side
    719.46x = 518,706.34
  5. Step 5: Solve for x
    x = 518,706.34/719.46
  6. Step 6: Final answer
    x = 720.97

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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.