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Finding the Fourth Proportional to 642.95, 963.95 and 382.33

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Solution

The fourth proportional to 642.95, 963.95 and 382.33 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.95 : 963.95 = 382.33 : x
  2. Step 2: Convert to fraction form
    642.95/963.95 = 382.33/x
  3. Step 3: Cross multiply
    642.95x = 963.95 × 382.33
  4. Step 4: Simplify right side
    642.95x = 368,547.00
  5. Step 5: Solve for x
    x = 368,547.00/642.95
  6. Step 6: Final answer
    x = 573.21

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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.