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Finding the Fourth Proportional to 648.93, 895.37 and 396.80

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Solution

The fourth proportional to 648.93, 895.37 and 396.80 is: 547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.93 : 895.37 = 396.80 : x
  2. Step 2: Convert to fraction form
    648.93/895.37 = 396.80/x
  3. Step 3: Cross multiply
    648.93x = 895.37 × 396.80
  4. Step 4: Simplify right side
    648.93x = 355,282.82
  5. Step 5: Solve for x
    x = 355,282.82/648.93
  6. Step 6: Final answer
    x = 547.49

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