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Finding the Fourth Proportional to 846.74, 1,270.14 and 298.97

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Solution

The fourth proportional to 846.74, 1,270.14 and 298.97 is: 448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.74 : 1,270.14 = 298.97 : x
  2. Step 2: Convert to fraction form
    846.74/1,270.14 = 298.97/x
  3. Step 3: Cross multiply
    846.74x = 1,270.14 × 298.97
  4. Step 4: Simplify right side
    846.74x = 379,739.87
  5. Step 5: Solve for x
    x = 379,739.87/846.74
  6. Step 6: Final answer
    x = 448.47

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Double scale
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1.5x scale

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.