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Finding the Fourth Proportional to 734.44, 1,013.61 and 423.94

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Solution

The fourth proportional to 734.44, 1,013.61 and 423.94 is: 585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.44 : 1,013.61 = 423.94 : x
  2. Step 2: Convert to fraction form
    734.44/1,013.61 = 423.94/x
  3. Step 3: Cross multiply
    734.44x = 1,013.61 × 423.94
  4. Step 4: Simplify right side
    734.44x = 429,709.82
  5. Step 5: Solve for x
    x = 429,709.82/734.44
  6. Step 6: Final answer
    x = 585.08

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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.