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Finding the Fourth Proportional to 804.24, 1,208.80 and 588.80

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Solution

The fourth proportional to 804.24, 1,208.80 and 588.80 is: 884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.24 : 1,208.80 = 588.80 : x
  2. Step 2: Convert to fraction form
    804.24/1,208.80 = 588.80/x
  3. Step 3: Cross multiply
    804.24x = 1,208.80 × 588.80
  4. Step 4: Simplify right side
    804.24x = 711,741.44
  5. Step 5: Solve for x
    x = 711,741.44/804.24
  6. Step 6: Final answer
    x = 884.99

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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.