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Finding the Fourth Proportional to 598.67, 826.65 and 568.09

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Solution

The fourth proportional to 598.67, 826.65 and 568.09 is: 784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 826.65 = 568.09 : x
  2. Step 2: Convert to fraction form
    598.67/826.65 = 568.09/x
  3. Step 3: Cross multiply
    598.67x = 826.65 × 568.09
  4. Step 4: Simplify right side
    598.67x = 469,609.53
  5. Step 5: Solve for x
    x = 469,609.53/598.67
  6. Step 6: Final answer
    x = 784.43

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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.