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Finding the Fourth Proportional to 555.42, 832.41 and 490.17

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Solution

The fourth proportional to 555.42, 832.41 and 490.17 is: 734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.42 : 832.41 = 490.17 : x
  2. Step 2: Convert to fraction form
    555.42/832.41 = 490.17/x
  3. Step 3: Cross multiply
    555.42x = 832.41 × 490.17
  4. Step 4: Simplify right side
    555.42x = 408,022.41
  5. Step 5: Solve for x
    x = 408,022.41/555.42
  6. Step 6: Final answer
    x = 734.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.