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Finding the Fourth Proportional to 555.45, 766.49 and 319.24

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Solution

The fourth proportional to 555.45, 766.49 and 319.24 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.45 : 766.49 = 319.24 : x
  2. Step 2: Convert to fraction form
    555.45/766.49 = 319.24/x
  3. Step 3: Cross multiply
    555.45x = 766.49 × 319.24
  4. Step 4: Simplify right side
    555.45x = 244,694.27
  5. Step 5: Solve for x
    x = 244,694.27/555.45
  6. Step 6: Final answer
    x = 440.53

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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.