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Finding the Fourth Proportional to 401.67, 598.76 and 385.89

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Solution

The fourth proportional to 401.67, 598.76 and 385.89 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 598.76 = 385.89 : x
  2. Step 2: Convert to fraction form
    401.67/598.76 = 385.89/x
  3. Step 3: Cross multiply
    401.67x = 598.76 × 385.89
  4. Step 4: Simplify right side
    401.67x = 231,053.57
  5. Step 5: Solve for x
    x = 231,053.57/401.67
  6. Step 6: Final answer
    x = 575.23

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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.