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Finding the Fourth Proportional to 550.64, 819.46 and 532.64

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Solution

The fourth proportional to 550.64, 819.46 and 532.64 is: 792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 819.46 = 532.64 : x
  2. Step 2: Convert to fraction form
    550.64/819.46 = 532.64/x
  3. Step 3: Cross multiply
    550.64x = 819.46 × 532.64
  4. Step 4: Simplify right side
    550.64x = 436,477.17
  5. Step 5: Solve for x
    x = 436,477.17/550.64
  6. Step 6: Final answer
    x = 792.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.