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Finding the Fourth Proportional to 804.63, 1,205.01 and 438.06

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Solution

The fourth proportional to 804.63, 1,205.01 and 438.06 is: 656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.63 : 1,205.01 = 438.06 : x
  2. Step 2: Convert to fraction form
    804.63/1,205.01 = 438.06/x
  3. Step 3: Cross multiply
    804.63x = 1,205.01 × 438.06
  4. Step 4: Simplify right side
    804.63x = 527,866.68
  5. Step 5: Solve for x
    x = 527,866.68/804.63
  6. Step 6: Final answer
    x = 656.04

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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.