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Finding the Fourth Proportional to 909.50, 1,363.23 and 389.95

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Solution

The fourth proportional to 909.50, 1,363.23 and 389.95 is: 584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.50 : 1,363.23 = 389.95 : x
  2. Step 2: Convert to fraction form
    909.50/1,363.23 = 389.95/x
  3. Step 3: Cross multiply
    909.50x = 1,363.23 × 389.95
  4. Step 4: Simplify right side
    909.50x = 531,588.13
  5. Step 5: Solve for x
    x = 531,588.13/909.50
  6. Step 6: Final answer
    x = 584.49

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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.