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Finding the Fourth Proportional to 909.82, 1,365 and 545.05

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Solution

The fourth proportional to 909.82, 1,365 and 545.05 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.82 : 1,365 = 545.05 : x
  2. Step 2: Convert to fraction form
    909.82/1,365 = 545.05/x
  3. Step 3: Cross multiply
    909.82x = 1,365 × 545.05
  4. Step 4: Simplify right side
    909.82x = 743,993.25
  5. Step 5: Solve for x
    x = 743,993.25/909.82
  6. Step 6: Final answer
    x = 817.74

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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.