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Finding the Fourth Proportional to 598.19, 898.49 and 415.94

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Solution

The fourth proportional to 598.19, 898.49 and 415.94 is: 624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.19 : 898.49 = 415.94 : x
  2. Step 2: Convert to fraction form
    598.19/898.49 = 415.94/x
  3. Step 3: Cross multiply
    598.19x = 898.49 × 415.94
  4. Step 4: Simplify right side
    598.19x = 373,714.48
  5. Step 5: Solve for x
    x = 373,714.48/598.19
  6. Step 6: Final answer
    x = 624.75

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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.