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Finding the Fourth Proportional to 804.04, 1,204.57 and 439.13

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Solution

The fourth proportional to 804.04, 1,204.57 and 439.13 is: 657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.04 : 1,204.57 = 439.13 : x
  2. Step 2: Convert to fraction form
    804.04/1,204.57 = 439.13/x
  3. Step 3: Cross multiply
    804.04x = 1,204.57 × 439.13
  4. Step 4: Simplify right side
    804.04x = 528,964.74
  5. Step 5: Solve for x
    x = 528,964.74/804.04
  6. Step 6: Final answer
    x = 657.89

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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.