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Finding the Fourth Proportional to 748.45, 1,122.13 and 315.91

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Solution

The fourth proportional to 748.45, 1,122.13 and 315.91 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.45 : 1,122.13 = 315.91 : x
  2. Step 2: Convert to fraction form
    748.45/1,122.13 = 315.91/x
  3. Step 3: Cross multiply
    748.45x = 1,122.13 × 315.91
  4. Step 4: Simplify right side
    748.45x = 354,492.09
  5. Step 5: Solve for x
    x = 354,492.09/748.45
  6. Step 6: Final answer
    x = 473.63

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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.