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Finding the Fourth Proportional to 550.68, 829.02 and 502.23

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Solution

The fourth proportional to 550.68, 829.02 and 502.23 is: 756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 829.02 = 502.23 : x
  2. Step 2: Convert to fraction form
    550.68/829.02 = 502.23/x
  3. Step 3: Cross multiply
    550.68x = 829.02 × 502.23
  4. Step 4: Simplify right side
    550.68x = 416,358.71
  5. Step 5: Solve for x
    x = 416,358.71/550.68
  6. Step 6: Final answer
    x = 756.08

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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.