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Finding the Fourth Proportional to 746.59, 1,119.88 and 313.74

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Solution

The fourth proportional to 746.59, 1,119.88 and 313.74 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.59 : 1,119.88 = 313.74 : x
  2. Step 2: Convert to fraction form
    746.59/1,119.88 = 313.74/x
  3. Step 3: Cross multiply
    746.59x = 1,119.88 × 313.74
  4. Step 4: Simplify right side
    746.59x = 351,351.15
  5. Step 5: Solve for x
    x = 351,351.15/746.59
  6. Step 6: Final answer
    x = 470.61

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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.