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Finding the Fourth Proportional to 734.38, 1,013.14 and 537.55

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Solution

The fourth proportional to 734.38, 1,013.14 and 537.55 is: 741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.38 : 1,013.14 = 537.55 : x
  2. Step 2: Convert to fraction form
    734.38/1,013.14 = 537.55/x
  3. Step 3: Cross multiply
    734.38x = 1,013.14 × 537.55
  4. Step 4: Simplify right side
    734.38x = 544,608.34
  5. Step 5: Solve for x
    x = 544,608.34/734.38
  6. Step 6: Final answer
    x = 741.59

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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.