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Finding the Fourth Proportional to 523.45, 784.70 and 341.20

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Solution

The fourth proportional to 523.45, 784.70 and 341.20 is: 511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.45 : 784.70 = 341.20 : x
  2. Step 2: Convert to fraction form
    523.45/784.70 = 341.20/x
  3. Step 3: Cross multiply
    523.45x = 784.70 × 341.20
  4. Step 4: Simplify right side
    523.45x = 267,739.64
  5. Step 5: Solve for x
    x = 267,739.64/523.45
  6. Step 6: Final answer
    x = 511.49

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Double scale
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Similar ratio
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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.