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Finding the Fourth Proportional to 654.44, 982.14 and 346.28

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Solution

The fourth proportional to 654.44, 982.14 and 346.28 is: 519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 982.14 = 346.28 : x
  2. Step 2: Convert to fraction form
    654.44/982.14 = 346.28/x
  3. Step 3: Cross multiply
    654.44x = 982.14 × 346.28
  4. Step 4: Simplify right side
    654.44x = 340,095.44
  5. Step 5: Solve for x
    x = 340,095.44/654.44
  6. Step 6: Final answer
    x = 519.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.