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Finding the Fourth Proportional to 555.87, 767.14 and 323.07

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Solution

The fourth proportional to 555.87, 767.14 and 323.07 is: 445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.87 : 767.14 = 323.07 : x
  2. Step 2: Convert to fraction form
    555.87/767.14 = 323.07/x
  3. Step 3: Cross multiply
    555.87x = 767.14 × 323.07
  4. Step 4: Simplify right side
    555.87x = 247,836.89
  5. Step 5: Solve for x
    x = 247,836.89/555.87
  6. Step 6: Final answer
    x = 445.86

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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.