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Finding the Fourth Proportional to 642.94, 963.81 and 436.84

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Solution

The fourth proportional to 642.94, 963.81 and 436.84 is: 654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 963.81 = 436.84 : x
  2. Step 2: Convert to fraction form
    642.94/963.81 = 436.84/x
  3. Step 3: Cross multiply
    642.94x = 963.81 × 436.84
  4. Step 4: Simplify right side
    642.94x = 421,030.76
  5. Step 5: Solve for x
    x = 421,030.76/642.94
  6. Step 6: Final answer
    x = 654.85

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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.