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Finding the Fourth Proportional to 522.28, 719.77 and 391.06

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Solution

The fourth proportional to 522.28, 719.77 and 391.06 is: 538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.28 : 719.77 = 391.06 : x
  2. Step 2: Convert to fraction form
    522.28/719.77 = 391.06/x
  3. Step 3: Cross multiply
    522.28x = 719.77 × 391.06
  4. Step 4: Simplify right side
    522.28x = 281,467.70
  5. Step 5: Solve for x
    x = 281,467.70/522.28
  6. Step 6: Final answer
    x = 538.93

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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.