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Finding the Fourth Proportional to 909.57, 1,363.57 and 408.86

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Solution

The fourth proportional to 909.57, 1,363.57 and 408.86 is: 612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.57 : 1,363.57 = 408.86 : x
  2. Step 2: Convert to fraction form
    909.57/1,363.57 = 408.86/x
  3. Step 3: Cross multiply
    909.57x = 1,363.57 × 408.86
  4. Step 4: Simplify right side
    909.57x = 557,506.50
  5. Step 5: Solve for x
    x = 557,506.50/909.57
  6. Step 6: Final answer
    x = 612.93

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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.