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Finding the Fourth Proportional to 521.84, 720.12 and 300.91

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Solution

The fourth proportional to 521.84, 720.12 and 300.91 is: 415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.84 : 720.12 = 300.91 : x
  2. Step 2: Convert to fraction form
    521.84/720.12 = 300.91/x
  3. Step 3: Cross multiply
    521.84x = 720.12 × 300.91
  4. Step 4: Simplify right side
    521.84x = 216,691.31
  5. Step 5: Solve for x
    x = 216,691.31/521.84
  6. Step 6: Final answer
    x = 415.25

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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.