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Finding the Fourth Proportional to 550.86, 822.23 and 502.26

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Solution

The fourth proportional to 550.86, 822.23 and 502.26 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 822.23 = 502.26 : x
  2. Step 2: Convert to fraction form
    550.86/822.23 = 502.26/x
  3. Step 3: Cross multiply
    550.86x = 822.23 × 502.26
  4. Step 4: Simplify right side
    550.86x = 412,970.73
  5. Step 5: Solve for x
    x = 412,970.73/550.86
  6. Step 6: Final answer
    x = 749.68

Related Problems

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Half scale
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Double scale
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1.5x scale

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.