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Finding the Fourth Proportional to 748.34, 1,115.92 and 696.40

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Solution

The fourth proportional to 748.34, 1,115.92 and 696.40 is: 1,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.34 : 1,115.92 = 696.40 : x
  2. Step 2: Convert to fraction form
    748.34/1,115.92 = 696.40/x
  3. Step 3: Cross multiply
    748.34x = 1,115.92 × 696.40
  4. Step 4: Simplify right side
    748.34x = 777,128.95
  5. Step 5: Solve for x
    x = 777,128.95/748.34
  6. Step 6: Final answer
    x = 1,038.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.