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Finding the Fourth Proportional to 394.16, 594.71 and 390.92

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Solution

The fourth proportional to 394.16, 594.71 and 390.92 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 594.71 = 390.92 : x
  2. Step 2: Convert to fraction form
    394.16/594.71 = 390.92/x
  3. Step 3: Cross multiply
    394.16x = 594.71 × 390.92
  4. Step 4: Simplify right side
    394.16x = 232,484.03
  5. Step 5: Solve for x
    x = 232,484.03/394.16
  6. Step 6: Final answer
    x = 589.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.