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Finding the Fourth Proportional to 788.64, 1,182.96 and 644.46

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Solution

The fourth proportional to 788.64, 1,182.96 and 644.46 is: 966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.64 : 1,182.96 = 644.46 : x
  2. Step 2: Convert to fraction form
    788.64/1,182.96 = 644.46/x
  3. Step 3: Cross multiply
    788.64x = 1,182.96 × 644.46
  4. Step 4: Simplify right side
    788.64x = 762,370.40
  5. Step 5: Solve for x
    x = 762,370.40/788.64
  6. Step 6: Final answer
    x = 966.69

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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.