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Finding the Fourth Proportional to 522.74, 719.73 and 398

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Solution

The fourth proportional to 522.74, 719.73 and 398 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.74 : 719.73 = 398 : x
  2. Step 2: Convert to fraction form
    522.74/719.73 = 398/x
  3. Step 3: Cross multiply
    522.74x = 719.73 × 398
  4. Step 4: Simplify right side
    522.74x = 286,452.54
  5. Step 5: Solve for x
    x = 286,452.54/522.74
  6. Step 6: Final answer
    x = 547.98

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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.