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Finding the Fourth Proportional to 648.58, 971.90 and 323.50

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Solution

The fourth proportional to 648.58, 971.90 and 323.50 is: 484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.58 : 971.90 = 323.50 : x
  2. Step 2: Convert to fraction form
    648.58/971.90 = 323.50/x
  3. Step 3: Cross multiply
    648.58x = 971.90 × 323.50
  4. Step 4: Simplify right side
    648.58x = 314,409.65
  5. Step 5: Solve for x
    x = 314,409.65/648.58
  6. Step 6: Final answer
    x = 484.77

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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.