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Finding the Fourth Proportional to 393.84, 587.16 and 391.50

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Solution

The fourth proportional to 393.84, 587.16 and 391.50 is: 583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.84 : 587.16 = 391.50 : x
  2. Step 2: Convert to fraction form
    393.84/587.16 = 391.50/x
  3. Step 3: Cross multiply
    393.84x = 587.16 × 391.50
  4. Step 4: Simplify right side
    393.84x = 229,873.14
  5. Step 5: Solve for x
    x = 229,873.14/393.84
  6. Step 6: Final answer
    x = 583.67

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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.