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Finding the Fourth Proportional to 553.91, 830.25 and 398.99

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Solution

The fourth proportional to 553.91, 830.25 and 398.99 is: 598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.91 : 830.25 = 398.99 : x
  2. Step 2: Convert to fraction form
    553.91/830.25 = 398.99/x
  3. Step 3: Cross multiply
    553.91x = 830.25 × 398.99
  4. Step 4: Simplify right side
    553.91x = 331,263.52
  5. Step 5: Solve for x
    x = 331,263.52/553.91
  6. Step 6: Final answer
    x = 598.05

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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.