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Finding the Fourth Proportional to 551.70, 830.76 and 398.68

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Solution

The fourth proportional to 551.70, 830.76 and 398.68 is: 600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 830.76 = 398.68 : x
  2. Step 2: Convert to fraction form
    551.70/830.76 = 398.68/x
  3. Step 3: Cross multiply
    551.70x = 830.76 × 398.68
  4. Step 4: Simplify right side
    551.70x = 331,207.40
  5. Step 5: Solve for x
    x = 331,207.40/551.70
  6. Step 6: Final answer
    x = 600.34

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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.