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Finding the Fourth Proportional to 1,188.66, 1,783.04 and 322.97

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Solution

The fourth proportional to 1,188.66, 1,783.04 and 322.97 is: 484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.66 : 1,783.04 = 322.97 : x
  2. Step 2: Convert to fraction form
    1,188.66/1,783.04 = 322.97/x
  3. Step 3: Cross multiply
    1,188.66x = 1,783.04 × 322.97
  4. Step 4: Simplify right side
    1,188.66x = 575,857.90
  5. Step 5: Solve for x
    x = 575,857.90/1,188.66
  6. Step 6: Final answer
    x = 484.46

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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.