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Finding the Fourth Proportional to 909.38, 1,256.13 and 735.38

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Solution

The fourth proportional to 909.38, 1,256.13 and 735.38 is: 1,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.38 : 1,256.13 = 735.38 : x
  2. Step 2: Convert to fraction form
    909.38/1,256.13 = 735.38/x
  3. Step 3: Cross multiply
    909.38x = 1,256.13 × 735.38
  4. Step 4: Simplify right side
    909.38x = 923,732.88
  5. Step 5: Solve for x
    x = 923,732.88/909.38
  6. Step 6: Final answer
    x = 1,015.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.