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Finding the Fourth Proportional to 943.97, 1,415.70 and 450.07

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Solution

The fourth proportional to 943.97, 1,415.70 and 450.07 is: 674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.97 : 1,415.70 = 450.07 : x
  2. Step 2: Convert to fraction form
    943.97/1,415.70 = 450.07/x
  3. Step 3: Cross multiply
    943.97x = 1,415.70 × 450.07
  4. Step 4: Simplify right side
    943.97x = 637,160.56
  5. Step 5: Solve for x
    x = 637,160.56/943.97
  6. Step 6: Final answer
    x = 674.98

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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.