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Finding the Fourth Proportional to 550.29, 824.26 and 534.99

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Solution

The fourth proportional to 550.29, 824.26 and 534.99 is: 801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 824.26 = 534.99 : x
  2. Step 2: Convert to fraction form
    550.29/824.26 = 534.99/x
  3. Step 3: Cross multiply
    550.29x = 824.26 × 534.99
  4. Step 4: Simplify right side
    550.29x = 440,970.86
  5. Step 5: Solve for x
    x = 440,970.86/550.29
  6. Step 6: Final answer
    x = 801.34

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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.