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Finding the Fourth Proportional to 642.69, 962.74 and 295.54

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Solution

The fourth proportional to 642.69, 962.74 and 295.54 is: 442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.69 : 962.74 = 295.54 : x
  2. Step 2: Convert to fraction form
    642.69/962.74 = 295.54/x
  3. Step 3: Cross multiply
    642.69x = 962.74 × 295.54
  4. Step 4: Simplify right side
    642.69x = 284,526.14
  5. Step 5: Solve for x
    x = 284,526.14/642.69
  6. Step 6: Final answer
    x = 442.71

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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.