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Finding the Fourth Proportional to 522.24, 719.44 and 428.68

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Solution

The fourth proportional to 522.24, 719.44 and 428.68 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 719.44 = 428.68 : x
  2. Step 2: Convert to fraction form
    522.24/719.44 = 428.68/x
  3. Step 3: Cross multiply
    522.24x = 719.44 × 428.68
  4. Step 4: Simplify right side
    522.24x = 308,409.54
  5. Step 5: Solve for x
    x = 308,409.54/522.24
  6. Step 6: Final answer
    x = 590.55

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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.