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Finding the Fourth Proportional to 804.50, 1,204.81 and 392.62

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Solution

The fourth proportional to 804.50, 1,204.81 and 392.62 is: 587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.50 : 1,204.81 = 392.62 : x
  2. Step 2: Convert to fraction form
    804.50/1,204.81 = 392.62/x
  3. Step 3: Cross multiply
    804.50x = 1,204.81 × 392.62
  4. Step 4: Simplify right side
    804.50x = 473,032.50
  5. Step 5: Solve for x
    x = 473,032.50/804.50
  6. Step 6: Final answer
    x = 587.98

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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.