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Finding the Fourth Proportional to 734.12, 1,013.38 and 497.96

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Solution

The fourth proportional to 734.12, 1,013.38 and 497.96 is: 687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.12 : 1,013.38 = 497.96 : x
  2. Step 2: Convert to fraction form
    734.12/1,013.38 = 497.96/x
  3. Step 3: Cross multiply
    734.12x = 1,013.38 × 497.96
  4. Step 4: Simplify right side
    734.12x = 504,622.70
  5. Step 5: Solve for x
    x = 504,622.70/734.12
  6. Step 6: Final answer
    x = 687.38

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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.