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Finding the Fourth Proportional to 550.18, 828.50 and 397.17

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Solution

The fourth proportional to 550.18, 828.50 and 397.17 is: 598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.18 : 828.50 = 397.17 : x
  2. Step 2: Convert to fraction form
    550.18/828.50 = 397.17/x
  3. Step 3: Cross multiply
    550.18x = 828.50 × 397.17
  4. Step 4: Simplify right side
    550.18x = 329,055.35
  5. Step 5: Solve for x
    x = 329,055.35/550.18
  6. Step 6: Final answer
    x = 598.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.