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Finding the Fourth Proportional to 919.89, 1,381.05 and 433.89

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Solution

The fourth proportional to 919.89, 1,381.05 and 433.89 is: 651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.89 : 1,381.05 = 433.89 : x
  2. Step 2: Convert to fraction form
    919.89/1,381.05 = 433.89/x
  3. Step 3: Cross multiply
    919.89x = 1,381.05 × 433.89
  4. Step 4: Simplify right side
    919.89x = 599,223.78
  5. Step 5: Solve for x
    x = 599,223.78/919.89
  6. Step 6: Final answer
    x = 651.41

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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.