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Finding the Fourth Proportional to 521.74, 719.91 and 300.64

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Solution

The fourth proportional to 521.74, 719.91 and 300.64 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 719.91 = 300.64 : x
  2. Step 2: Convert to fraction form
    521.74/719.91 = 300.64/x
  3. Step 3: Cross multiply
    521.74x = 719.91 × 300.64
  4. Step 4: Simplify right side
    521.74x = 216,433.74
  5. Step 5: Solve for x
    x = 216,433.74/521.74
  6. Step 6: Final answer
    x = 414.83

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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.