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Finding the Fourth Proportional to 642.98, 962.06 and 382.02

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Solution

The fourth proportional to 642.98, 962.06 and 382.02 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.98 : 962.06 = 382.02 : x
  2. Step 2: Convert to fraction form
    642.98/962.06 = 382.02/x
  3. Step 3: Cross multiply
    642.98x = 962.06 × 382.02
  4. Step 4: Simplify right side
    642.98x = 367,524.25
  5. Step 5: Solve for x
    x = 367,524.25/642.98
  6. Step 6: Final answer
    x = 571.60

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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.