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Finding the Fourth Proportional to 645.96, 967.40 and 353.02

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Solution

The fourth proportional to 645.96, 967.40 and 353.02 is: 528.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.96 : 967.40 = 353.02 : x
  2. Step 2: Convert to fraction form
    645.96/967.40 = 353.02/x
  3. Step 3: Cross multiply
    645.96x = 967.40 × 353.02
  4. Step 4: Simplify right side
    645.96x = 341,511.41
  5. Step 5: Solve for x
    x = 341,511.41/645.96
  6. Step 6: Final answer
    x = 528.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.