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Finding the Fourth Proportional to 748.15, 1,121.57 and 309.12

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Solution

The fourth proportional to 748.15, 1,121.57 and 309.12 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.15 : 1,121.57 = 309.12 : x
  2. Step 2: Convert to fraction form
    748.15/1,121.57 = 309.12/x
  3. Step 3: Cross multiply
    748.15x = 1,121.57 × 309.12
  4. Step 4: Simplify right side
    748.15x = 346,701.14
  5. Step 5: Solve for x
    x = 346,701.14/748.15
  6. Step 6: Final answer
    x = 463.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.