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Finding the Fourth Proportional to 523.57, 718.74 and 449.76

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Solution

The fourth proportional to 523.57, 718.74 and 449.76 is: 617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.57 : 718.74 = 449.76 : x
  2. Step 2: Convert to fraction form
    523.57/718.74 = 449.76/x
  3. Step 3: Cross multiply
    523.57x = 718.74 × 449.76
  4. Step 4: Simplify right side
    523.57x = 323,260.50
  5. Step 5: Solve for x
    x = 323,260.50/523.57
  6. Step 6: Final answer
    x = 617.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.