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Finding the Fourth Proportional to 627.41, 936.63 and 545.42

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Solution

The fourth proportional to 627.41, 936.63 and 545.42 is: 814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.41 : 936.63 = 545.42 : x
  2. Step 2: Convert to fraction form
    627.41/936.63 = 545.42/x
  3. Step 3: Cross multiply
    627.41x = 936.63 × 545.42
  4. Step 4: Simplify right side
    627.41x = 510,852.05
  5. Step 5: Solve for x
    x = 510,852.05/627.41
  6. Step 6: Final answer
    x = 814.23

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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.