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Finding the Fourth Proportional to 550.40, 821.64 and 545.74

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Solution

The fourth proportional to 550.40, 821.64 and 545.74 is: 814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.40 : 821.64 = 545.74 : x
  2. Step 2: Convert to fraction form
    550.40/821.64 = 545.74/x
  3. Step 3: Cross multiply
    550.40x = 821.64 × 545.74
  4. Step 4: Simplify right side
    550.40x = 448,401.81
  5. Step 5: Solve for x
    x = 448,401.81/550.40
  6. Step 6: Final answer
    x = 814.69

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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.