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Finding the Fourth Proportional to 648.46, 894.90 and 386.65

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Solution

The fourth proportional to 648.46, 894.90 and 386.65 is: 533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 894.90 = 386.65 : x
  2. Step 2: Convert to fraction form
    648.46/894.90 = 386.65/x
  3. Step 3: Cross multiply
    648.46x = 894.90 × 386.65
  4. Step 4: Simplify right side
    648.46x = 346,013.09
  5. Step 5: Solve for x
    x = 346,013.09/648.46
  6. Step 6: Final answer
    x = 533.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.