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Finding the Fourth Proportional to 394.61, 589.55 and 386.51

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Solution

The fourth proportional to 394.61, 589.55 and 386.51 is: 577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.61 : 589.55 = 386.51 : x
  2. Step 2: Convert to fraction form
    394.61/589.55 = 386.51/x
  3. Step 3: Cross multiply
    394.61x = 589.55 × 386.51
  4. Step 4: Simplify right side
    394.61x = 227,862.09
  5. Step 5: Solve for x
    x = 227,862.09/394.61
  6. Step 6: Final answer
    x = 577.44

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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.