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Finding the Fourth Proportional to 523.74, 784.92 and 341.04

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Solution

The fourth proportional to 523.74, 784.92 and 341.04 is: 511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 784.92 = 341.04 : x
  2. Step 2: Convert to fraction form
    523.74/784.92 = 341.04/x
  3. Step 3: Cross multiply
    523.74x = 784.92 × 341.04
  4. Step 4: Simplify right side
    523.74x = 267,689.12
  5. Step 5: Solve for x
    x = 267,689.12/523.74
  6. Step 6: Final answer
    x = 511.11

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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.