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Finding the Fourth Proportional to 909.91, 1,364.14 and 635.19

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Solution

The fourth proportional to 909.91, 1,364.14 and 635.19 is: 952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.91 : 1,364.14 = 635.19 : x
  2. Step 2: Convert to fraction form
    909.91/1,364.14 = 635.19/x
  3. Step 3: Cross multiply
    909.91x = 1,364.14 × 635.19
  4. Step 4: Simplify right side
    909.91x = 866,488.09
  5. Step 5: Solve for x
    x = 866,488.09/909.91
  6. Step 6: Final answer
    x = 952.28

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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.