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Finding the Fourth Proportional to 1,188.64, 1,782.80 and 322.96

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Solution

The fourth proportional to 1,188.64, 1,782.80 and 322.96 is: 484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.64 : 1,782.80 = 322.96 : x
  2. Step 2: Convert to fraction form
    1,188.64/1,782.80 = 322.96/x
  3. Step 3: Cross multiply
    1,188.64x = 1,782.80 × 322.96
  4. Step 4: Simplify right side
    1,188.64x = 575,773.09
  5. Step 5: Solve for x
    x = 575,773.09/1,188.64
  6. Step 6: Final answer
    x = 484.40

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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.