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Finding the Fourth Proportional to 518.37, 714.78 and 378.24

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Solution

The fourth proportional to 518.37, 714.78 and 378.24 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.37 : 714.78 = 378.24 : x
  2. Step 2: Convert to fraction form
    518.37/714.78 = 378.24/x
  3. Step 3: Cross multiply
    518.37x = 714.78 × 378.24
  4. Step 4: Simplify right side
    518.37x = 270,358.39
  5. Step 5: Solve for x
    x = 270,358.39/518.37
  6. Step 6: Final answer
    x = 521.55

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Double scale
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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.