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Finding the Fourth Proportional to 909.91, 1,363.74 and 520.24

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Solution

The fourth proportional to 909.91, 1,363.74 and 520.24 is: 779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.91 : 1,363.74 = 520.24 : x
  2. Step 2: Convert to fraction form
    909.91/1,363.74 = 520.24/x
  3. Step 3: Cross multiply
    909.91x = 1,363.74 × 520.24
  4. Step 4: Simplify right side
    909.91x = 709,472.10
  5. Step 5: Solve for x
    x = 709,472.10/909.91
  6. Step 6: Final answer
    x = 779.72

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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.