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Finding the Fourth Proportional to 648.73, 895.25 and 369.02

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Solution

The fourth proportional to 648.73, 895.25 and 369.02 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.73 : 895.25 = 369.02 : x
  2. Step 2: Convert to fraction form
    648.73/895.25 = 369.02/x
  3. Step 3: Cross multiply
    648.73x = 895.25 × 369.02
  4. Step 4: Simplify right side
    648.73x = 330,365.24
  5. Step 5: Solve for x
    x = 330,365.24/648.73
  6. Step 6: Final answer
    x = 509.25

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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.