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Finding the Fourth Proportional to 598.78, 898.17 and 406

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Solution

The fourth proportional to 598.78, 898.17 and 406 is: 609

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 898.17 = 406 : x
  2. Step 2: Convert to fraction form
    598.78/898.17 = 406/x
  3. Step 3: Cross multiply
    598.78x = 898.17 × 406
  4. Step 4: Simplify right side
    598.78x = 364,657.02
  5. Step 5: Solve for x
    x = 364,657.02/598.78
  6. Step 6: Final answer
    x = 609

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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.