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Finding the Fourth Proportional to 734.78, 1,013.98 and 403.22

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Solution

The fourth proportional to 734.78, 1,013.98 and 403.22 is: 556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.78 : 1,013.98 = 403.22 : x
  2. Step 2: Convert to fraction form
    734.78/1,013.98 = 403.22/x
  3. Step 3: Cross multiply
    734.78x = 1,013.98 × 403.22
  4. Step 4: Simplify right side
    734.78x = 408,857.02
  5. Step 5: Solve for x
    x = 408,857.02/734.78
  6. Step 6: Final answer
    x = 556.43

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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.