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Finding the Fourth Proportional to 598.86, 826.40 and 350.18

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Solution

The fourth proportional to 598.86, 826.40 and 350.18 is: 483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 826.40 = 350.18 : x
  2. Step 2: Convert to fraction form
    598.86/826.40 = 350.18/x
  3. Step 3: Cross multiply
    598.86x = 826.40 × 350.18
  4. Step 4: Simplify right side
    598.86x = 289,388.75
  5. Step 5: Solve for x
    x = 289,388.75/598.86
  6. Step 6: Final answer
    x = 483.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.