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Finding the Fourth Proportional to 505.83, 758.77 and 217.07

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Solution

The fourth proportional to 505.83, 758.77 and 217.07 is: 325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.83 : 758.77 = 217.07 : x
  2. Step 2: Convert to fraction form
    505.83/758.77 = 217.07/x
  3. Step 3: Cross multiply
    505.83x = 758.77 × 217.07
  4. Step 4: Simplify right side
    505.83x = 164,701.32
  5. Step 5: Solve for x
    x = 164,701.32/505.83
  6. Step 6: Final answer
    x = 325.61

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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.