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Finding the Fourth Proportional to 550.79, 759.93 and 314.65

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Solution

The fourth proportional to 550.79, 759.93 and 314.65 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.79 : 759.93 = 314.65 : x
  2. Step 2: Convert to fraction form
    550.79/759.93 = 314.65/x
  3. Step 3: Cross multiply
    550.79x = 759.93 × 314.65
  4. Step 4: Simplify right side
    550.79x = 239,114.93
  5. Step 5: Solve for x
    x = 239,114.93/550.79
  6. Step 6: Final answer
    x = 434.13

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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.