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Finding the Fourth Proportional to 550.24, 819.62 and 525.28

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Solution

The fourth proportional to 550.24, 819.62 and 525.28 is: 782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.24 : 819.62 = 525.28 : x
  2. Step 2: Convert to fraction form
    550.24/819.62 = 525.28/x
  3. Step 3: Cross multiply
    550.24x = 819.62 × 525.28
  4. Step 4: Simplify right side
    550.24x = 430,529.99
  5. Step 5: Solve for x
    x = 430,529.99/550.24
  6. Step 6: Final answer
    x = 782.44

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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.