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Finding the Fourth Proportional to 734.22, 1,013.43 and 423.66

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Solution

The fourth proportional to 734.22, 1,013.43 and 423.66 is: 584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.22 : 1,013.43 = 423.66 : x
  2. Step 2: Convert to fraction form
    734.22/1,013.43 = 423.66/x
  3. Step 3: Cross multiply
    734.22x = 1,013.43 × 423.66
  4. Step 4: Simplify right side
    734.22x = 429,349.75
  5. Step 5: Solve for x
    x = 429,349.75/734.22
  6. Step 6: Final answer
    x = 584.77

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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.