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Finding the Fourth Proportional to 550.72, 821.57 and 460

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Solution

The fourth proportional to 550.72, 821.57 and 460 is: 686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 821.57 = 460 : x
  2. Step 2: Convert to fraction form
    550.72/821.57 = 460/x
  3. Step 3: Cross multiply
    550.72x = 821.57 × 460
  4. Step 4: Simplify right side
    550.72x = 377,922.20
  5. Step 5: Solve for x
    x = 377,922.20/550.72
  6. Step 6: Final answer
    x = 686.23

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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.