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Finding the Fourth Proportional to 909.17, 1,363.08 and 469.95

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Solution

The fourth proportional to 909.17, 1,363.08 and 469.95 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.17 : 1,363.08 = 469.95 : x
  2. Step 2: Convert to fraction form
    909.17/1,363.08 = 469.95/x
  3. Step 3: Cross multiply
    909.17x = 1,363.08 × 469.95
  4. Step 4: Simplify right side
    909.17x = 640,579.45
  5. Step 5: Solve for x
    x = 640,579.45/909.17
  6. Step 6: Final answer
    x = 704.57

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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.