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Finding the Fourth Proportional to 532.90, 798.74 and 224.70

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Solution

The fourth proportional to 532.90, 798.74 and 224.70 is: 336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.90 : 798.74 = 224.70 : x
  2. Step 2: Convert to fraction form
    532.90/798.74 = 224.70/x
  3. Step 3: Cross multiply
    532.90x = 798.74 × 224.70
  4. Step 4: Simplify right side
    532.90x = 179,476.88
  5. Step 5: Solve for x
    x = 179,476.88/532.90
  6. Step 6: Final answer
    x = 336.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.