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Finding the Fourth Proportional to 521.91, 720.32 and 301.01

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Solution

The fourth proportional to 521.91, 720.32 and 301.01 is: 415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 720.32 = 301.01 : x
  2. Step 2: Convert to fraction form
    521.91/720.32 = 301.01/x
  3. Step 3: Cross multiply
    521.91x = 720.32 × 301.01
  4. Step 4: Simplify right side
    521.91x = 216,818.42
  5. Step 5: Solve for x
    x = 216,818.42/521.91
  6. Step 6: Final answer
    x = 415.43

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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.