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Finding the Fourth Proportional to 402.67, 598.89 and 394.93

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Solution

The fourth proportional to 402.67, 598.89 and 394.93 is: 587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.67 : 598.89 = 394.93 : x
  2. Step 2: Convert to fraction form
    402.67/598.89 = 394.93/x
  3. Step 3: Cross multiply
    402.67x = 598.89 × 394.93
  4. Step 4: Simplify right side
    402.67x = 236,518.49
  5. Step 5: Solve for x
    x = 236,518.49/402.67
  6. Step 6: Final answer
    x = 587.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.