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Finding the Fourth Proportional to 734.63, 1,013.78 and 424.31

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Solution

The fourth proportional to 734.63, 1,013.78 and 424.31 is: 585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.63 : 1,013.78 = 424.31 : x
  2. Step 2: Convert to fraction form
    734.63/1,013.78 = 424.31/x
  3. Step 3: Cross multiply
    734.63x = 1,013.78 × 424.31
  4. Step 4: Simplify right side
    734.63x = 430,152.98
  5. Step 5: Solve for x
    x = 430,152.98/734.63
  6. Step 6: Final answer
    x = 585.54

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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.