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Finding the Fourth Proportional to 613.38, 846.46 and 337.38

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Solution

The fourth proportional to 613.38, 846.46 and 337.38 is: 465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.38 : 846.46 = 337.38 : x
  2. Step 2: Convert to fraction form
    613.38/846.46 = 337.38/x
  3. Step 3: Cross multiply
    613.38x = 846.46 × 337.38
  4. Step 4: Simplify right side
    613.38x = 285,573.60
  5. Step 5: Solve for x
    x = 285,573.60/613.38
  6. Step 6: Final answer
    x = 465.58

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Double scale
Find fourth proportional to 614.38, 847.84 and 338.38
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.