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Finding the Fourth Proportional to 642.37, 962.79 and 295.41

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Solution

The fourth proportional to 642.37, 962.79 and 295.41 is: 442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.37 : 962.79 = 295.41 : x
  2. Step 2: Convert to fraction form
    642.37/962.79 = 295.41/x
  3. Step 3: Cross multiply
    642.37x = 962.79 × 295.41
  4. Step 4: Simplify right side
    642.37x = 284,421.40
  5. Step 5: Solve for x
    x = 284,421.40/642.37
  6. Step 6: Final answer
    x = 442.77

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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.