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Finding the Fourth Proportional to 846.70, 1,270.25 and 319.61

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Solution

The fourth proportional to 846.70, 1,270.25 and 319.61 is: 479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.70 : 1,270.25 = 319.61 : x
  2. Step 2: Convert to fraction form
    846.70/1,270.25 = 319.61/x
  3. Step 3: Cross multiply
    846.70x = 1,270.25 × 319.61
  4. Step 4: Simplify right side
    846.70x = 405,984.60
  5. Step 5: Solve for x
    x = 405,984.60/846.70
  6. Step 6: Final answer
    x = 479.49

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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.