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Finding the Fourth Proportional to 523.88, 723.14 and 344.44

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Solution

The fourth proportional to 523.88, 723.14 and 344.44 is: 475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.88 : 723.14 = 344.44 : x
  2. Step 2: Convert to fraction form
    523.88/723.14 = 344.44/x
  3. Step 3: Cross multiply
    523.88x = 723.14 × 344.44
  4. Step 4: Simplify right side
    523.88x = 249,078.34
  5. Step 5: Solve for x
    x = 249,078.34/523.88
  6. Step 6: Final answer
    x = 475.45

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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.