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Finding the Fourth Proportional to 804.60, 1,206.46 and 284.58

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Solution

The fourth proportional to 804.60, 1,206.46 and 284.58 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.60 : 1,206.46 = 284.58 : x
  2. Step 2: Convert to fraction form
    804.60/1,206.46 = 284.58/x
  3. Step 3: Cross multiply
    804.60x = 1,206.46 × 284.58
  4. Step 4: Simplify right side
    804.60x = 343,334.74
  5. Step 5: Solve for x
    x = 343,334.74/804.60
  6. Step 6: Final answer
    x = 426.71

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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.