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Finding the Fourth Proportional to 555.40, 829.04 and 518.92

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Solution

The fourth proportional to 555.40, 829.04 and 518.92 is: 774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.40 : 829.04 = 518.92 : x
  2. Step 2: Convert to fraction form
    555.40/829.04 = 518.92/x
  3. Step 3: Cross multiply
    555.40x = 829.04 × 518.92
  4. Step 4: Simplify right side
    555.40x = 430,205.44
  5. Step 5: Solve for x
    x = 430,205.44/555.40
  6. Step 6: Final answer
    x = 774.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.