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Finding the Fourth Proportional to 648.46, 972.01 and 485.65

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Solution

The fourth proportional to 648.46, 972.01 and 485.65 is: 727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 972.01 = 485.65 : x
  2. Step 2: Convert to fraction form
    648.46/972.01 = 485.65/x
  3. Step 3: Cross multiply
    648.46x = 972.01 × 485.65
  4. Step 4: Simplify right side
    648.46x = 472,054.83
  5. Step 5: Solve for x
    x = 472,054.83/648.46
  6. Step 6: Final answer
    x = 727.97

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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.