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Finding the Fourth Proportional to 517.64, 775.51 and 301.37

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Solution

The fourth proportional to 517.64, 775.51 and 301.37 is: 451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 775.51 = 301.37 : x
  2. Step 2: Convert to fraction form
    517.64/775.51 = 301.37/x
  3. Step 3: Cross multiply
    517.64x = 775.51 × 301.37
  4. Step 4: Simplify right side
    517.64x = 233,710.82
  5. Step 5: Solve for x
    x = 233,710.82/517.64
  6. Step 6: Final answer
    x = 451.50

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.