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Finding the Fourth Proportional to 386.96, 575.69 and 383.56

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Solution

The fourth proportional to 386.96, 575.69 and 383.56 is: 570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 575.69 = 383.56 : x
  2. Step 2: Convert to fraction form
    386.96/575.69 = 383.56/x
  3. Step 3: Cross multiply
    386.96x = 575.69 × 383.56
  4. Step 4: Simplify right side
    386.96x = 220,811.66
  5. Step 5: Solve for x
    x = 220,811.66/386.96
  6. Step 6: Final answer
    x = 570.63

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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.