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Finding the Fourth Proportional to 555.93, 767.31 and 319.92

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Solution

The fourth proportional to 555.93, 767.31 and 319.92 is: 441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.93 : 767.31 = 319.92 : x
  2. Step 2: Convert to fraction form
    555.93/767.31 = 319.92/x
  3. Step 3: Cross multiply
    555.93x = 767.31 × 319.92
  4. Step 4: Simplify right side
    555.93x = 245,477.82
  5. Step 5: Solve for x
    x = 245,477.82/555.93
  6. Step 6: Final answer
    x = 441.56

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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.