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Finding the Fourth Proportional to 804.33, 1,212.71 and 643.95

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Solution

The fourth proportional to 804.33, 1,212.71 and 643.95 is: 970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.33 : 1,212.71 = 643.95 : x
  2. Step 2: Convert to fraction form
    804.33/1,212.71 = 643.95/x
  3. Step 3: Cross multiply
    804.33x = 1,212.71 × 643.95
  4. Step 4: Simplify right side
    804.33x = 780,924.60
  5. Step 5: Solve for x
    x = 780,924.60/804.33
  6. Step 6: Final answer
    x = 970.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.