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Finding the Fourth Proportional to 598.14, 826.47 and 494.46

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Solution

The fourth proportional to 598.14, 826.47 and 494.46 is: 683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 826.47 = 494.46 : x
  2. Step 2: Convert to fraction form
    598.14/826.47 = 494.46/x
  3. Step 3: Cross multiply
    598.14x = 826.47 × 494.46
  4. Step 4: Simplify right side
    598.14x = 408,656.36
  5. Step 5: Solve for x
    x = 408,656.36/598.14
  6. Step 6: Final answer
    x = 683.21

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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.