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Finding the Fourth Proportional to 598.45, 826.02 and 421.39

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Solution

The fourth proportional to 598.45, 826.02 and 421.39 is: 581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.45 : 826.02 = 421.39 : x
  2. Step 2: Convert to fraction form
    598.45/826.02 = 421.39/x
  3. Step 3: Cross multiply
    598.45x = 826.02 × 421.39
  4. Step 4: Simplify right side
    598.45x = 348,076.57
  5. Step 5: Solve for x
    x = 348,076.57/598.45
  6. Step 6: Final answer
    x = 581.63

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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.