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Finding the Fourth Proportional to 909.90, 1,363.20 and 519.42

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Solution

The fourth proportional to 909.90, 1,363.20 and 519.42 is: 778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.90 : 1,363.20 = 519.42 : x
  2. Step 2: Convert to fraction form
    909.90/1,363.20 = 519.42/x
  3. Step 3: Cross multiply
    909.90x = 1,363.20 × 519.42
  4. Step 4: Simplify right side
    909.90x = 708,073.34
  5. Step 5: Solve for x
    x = 708,073.34/909.90
  6. Step 6: Final answer
    x = 778.19

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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.