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Finding the Fourth Proportional to 545.93, 816.85 and 428.39

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Solution

The fourth proportional to 545.93, 816.85 and 428.39 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.93 : 816.85 = 428.39 : x
  2. Step 2: Convert to fraction form
    545.93/816.85 = 428.39/x
  3. Step 3: Cross multiply
    545.93x = 816.85 × 428.39
  4. Step 4: Simplify right side
    545.93x = 349,924.15
  5. Step 5: Solve for x
    x = 349,924.15/545.93
  6. Step 6: Final answer
    x = 640.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.