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Finding the Fourth Proportional to 642.50, 962.98 and 295.55

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Solution

The fourth proportional to 642.50, 962.98 and 295.55 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.50 : 962.98 = 295.55 : x
  2. Step 2: Convert to fraction form
    642.50/962.98 = 295.55/x
  3. Step 3: Cross multiply
    642.50x = 962.98 × 295.55
  4. Step 4: Simplify right side
    642.50x = 284,602.45
  5. Step 5: Solve for x
    x = 284,602.45/642.50
  6. Step 6: Final answer
    x = 442.96

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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.