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Finding the Fourth Proportional to 943.34, 1,415.26 and 285.22

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Solution

The fourth proportional to 943.34, 1,415.26 and 285.22 is: 427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.34 : 1,415.26 = 285.22 : x
  2. Step 2: Convert to fraction form
    943.34/1,415.26 = 285.22/x
  3. Step 3: Cross multiply
    943.34x = 1,415.26 × 285.22
  4. Step 4: Simplify right side
    943.34x = 403,661.28
  5. Step 5: Solve for x
    x = 403,661.28/943.34
  6. Step 6: Final answer
    x = 427.91

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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.