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Finding the Fourth Proportional to 746.85, 1,120.14 and 314.31

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Solution

The fourth proportional to 746.85, 1,120.14 and 314.31 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.85 : 1,120.14 = 314.31 : x
  2. Step 2: Convert to fraction form
    746.85/1,120.14 = 314.31/x
  3. Step 3: Cross multiply
    746.85x = 1,120.14 × 314.31
  4. Step 4: Simplify right side
    746.85x = 352,071.20
  5. Step 5: Solve for x
    x = 352,071.20/746.85
  6. Step 6: Final answer
    x = 471.41

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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.