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Finding the Fourth Proportional to 518.38, 715.56 and 344.22

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Solution

The fourth proportional to 518.38, 715.56 and 344.22 is: 475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 715.56 = 344.22 : x
  2. Step 2: Convert to fraction form
    518.38/715.56 = 344.22/x
  3. Step 3: Cross multiply
    518.38x = 715.56 × 344.22
  4. Step 4: Simplify right side
    518.38x = 246,310.06
  5. Step 5: Solve for x
    x = 246,310.06/518.38
  6. Step 6: Final answer
    x = 475.15

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Double scale
Find fourth proportional to 519.38, 716.94 and 345.22
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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.