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Finding the Fourth Proportional to 642.15, 963.72 and 368.37

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Solution

The fourth proportional to 642.15, 963.72 and 368.37 is: 552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.15 : 963.72 = 368.37 : x
  2. Step 2: Convert to fraction form
    642.15/963.72 = 368.37/x
  3. Step 3: Cross multiply
    642.15x = 963.72 × 368.37
  4. Step 4: Simplify right side
    642.15x = 355,005.54
  5. Step 5: Solve for x
    x = 355,005.54/642.15
  6. Step 6: Final answer
    x = 552.84

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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.