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Finding the Fourth Proportional to 550.80, 830.70 and 493.20

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Solution

The fourth proportional to 550.80, 830.70 and 493.20 is: 743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.80 : 830.70 = 493.20 : x
  2. Step 2: Convert to fraction form
    550.80/830.70 = 493.20/x
  3. Step 3: Cross multiply
    550.80x = 830.70 × 493.20
  4. Step 4: Simplify right side
    550.80x = 409,701.24
  5. Step 5: Solve for x
    x = 409,701.24/550.80
  6. Step 6: Final answer
    x = 743.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.