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Finding the Fourth Proportional to 550.52, 831.76 and 545.66

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Solution

The fourth proportional to 550.52, 831.76 and 545.66 is: 824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.52 : 831.76 = 545.66 : x
  2. Step 2: Convert to fraction form
    550.52/831.76 = 545.66/x
  3. Step 3: Cross multiply
    550.52x = 831.76 × 545.66
  4. Step 4: Simplify right side
    550.52x = 453,858.16
  5. Step 5: Solve for x
    x = 453,858.16/550.52
  6. Step 6: Final answer
    x = 824.42

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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.