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Finding the Fourth Proportional to 598.97, 826.20 and 442.01

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Solution

The fourth proportional to 598.97, 826.20 and 442.01 is: 609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.97 : 826.20 = 442.01 : x
  2. Step 2: Convert to fraction form
    598.97/826.20 = 442.01/x
  3. Step 3: Cross multiply
    598.97x = 826.20 × 442.01
  4. Step 4: Simplify right side
    598.97x = 365,184.53
  5. Step 5: Solve for x
    x = 365,184.53/598.97
  6. Step 6: Final answer
    x = 609.69

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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.