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Finding the Fourth Proportional to 627.16, 936.25 and 545.17

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Solution

The fourth proportional to 627.16, 936.25 and 545.17 is: 813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.16 : 936.25 = 545.17 : x
  2. Step 2: Convert to fraction form
    627.16/936.25 = 545.17/x
  3. Step 3: Cross multiply
    627.16x = 936.25 × 545.17
  4. Step 4: Simplify right side
    627.16x = 510,415.41
  5. Step 5: Solve for x
    x = 510,415.41/627.16
  6. Step 6: Final answer
    x = 813.85

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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.