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Finding the Fourth Proportional to 719.69, 991.79 and 522.89

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Solution

The fourth proportional to 719.69, 991.79 and 522.89 is: 720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.69 : 991.79 = 522.89 : x
  2. Step 2: Convert to fraction form
    719.69/991.79 = 522.89/x
  3. Step 3: Cross multiply
    719.69x = 991.79 × 522.89
  4. Step 4: Simplify right side
    719.69x = 518,594.46
  5. Step 5: Solve for x
    x = 518,594.46/719.69
  6. Step 6: Final answer
    x = 720.58

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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.