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Finding the Fourth Proportional to 391.67, 583.93 and 386.81

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Solution

The fourth proportional to 391.67, 583.93 and 386.81 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.67 : 583.93 = 386.81 : x
  2. Step 2: Convert to fraction form
    391.67/583.93 = 386.81/x
  3. Step 3: Cross multiply
    391.67x = 583.93 × 386.81
  4. Step 4: Simplify right side
    391.67x = 225,866.08
  5. Step 5: Solve for x
    x = 225,866.08/391.67
  6. Step 6: Final answer
    x = 576.68

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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.