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Finding the Fourth Proportional to 909.21, 1,364.33 and 756.98

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Solution

The fourth proportional to 909.21, 1,364.33 and 756.98 is: 1,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.21 : 1,364.33 = 756.98 : x
  2. Step 2: Convert to fraction form
    909.21/1,364.33 = 756.98/x
  3. Step 3: Cross multiply
    909.21x = 1,364.33 × 756.98
  4. Step 4: Simplify right side
    909.21x = 1,032,770.52
  5. Step 5: Solve for x
    x = 1,032,770.52/909.21
  6. Step 6: Final answer
    x = 1,135.90

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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.