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Finding the Fourth Proportional to 598.78, 898.10 and 165.88

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Solution

The fourth proportional to 598.78, 898.10 and 165.88 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 898.10 = 165.88 : x
  2. Step 2: Convert to fraction form
    598.78/898.10 = 165.88/x
  3. Step 3: Cross multiply
    598.78x = 898.10 × 165.88
  4. Step 4: Simplify right side
    598.78x = 148,976.83
  5. Step 5: Solve for x
    x = 148,976.83/598.78
  6. Step 6: Final answer
    x = 248.80

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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.