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Finding the Fourth Proportional to 555.96, 766.48 and 398.82

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Solution

The fourth proportional to 555.96, 766.48 and 398.82 is: 549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 766.48 = 398.82 : x
  2. Step 2: Convert to fraction form
    555.96/766.48 = 398.82/x
  3. Step 3: Cross multiply
    555.96x = 766.48 × 398.82
  4. Step 4: Simplify right side
    555.96x = 305,687.55
  5. Step 5: Solve for x
    x = 305,687.55/555.96
  6. Step 6: Final answer
    x = 549.84

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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.