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Finding the Fourth Proportional to 507.27, 698.16 and 359.65

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Solution

The fourth proportional to 507.27, 698.16 and 359.65 is: 494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.27 : 698.16 = 359.65 : x
  2. Step 2: Convert to fraction form
    507.27/698.16 = 359.65/x
  3. Step 3: Cross multiply
    507.27x = 698.16 × 359.65
  4. Step 4: Simplify right side
    507.27x = 251,093.24
  5. Step 5: Solve for x
    x = 251,093.24/507.27
  6. Step 6: Final answer
    x = 494.99

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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.