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Finding the Fourth Proportional to 648.74, 972.84 and 215.84

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Solution

The fourth proportional to 648.74, 972.84 and 215.84 is: 323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 972.84 = 215.84 : x
  2. Step 2: Convert to fraction form
    648.74/972.84 = 215.84/x
  3. Step 3: Cross multiply
    648.74x = 972.84 × 215.84
  4. Step 4: Simplify right side
    648.74x = 209,977.79
  5. Step 5: Solve for x
    x = 209,977.79/648.74
  6. Step 6: Final answer
    x = 323.67

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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.