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Finding the Fourth Proportional to 803.25, 1,204.34 and 646.65

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Solution

The fourth proportional to 803.25, 1,204.34 and 646.65 is: 969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.25 : 1,204.34 = 646.65 : x
  2. Step 2: Convert to fraction form
    803.25/1,204.34 = 646.65/x
  3. Step 3: Cross multiply
    803.25x = 1,204.34 × 646.65
  4. Step 4: Simplify right side
    803.25x = 778,783.23
  5. Step 5: Solve for x
    x = 778,783.23/803.25
  6. Step 6: Final answer
    x = 969.54

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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.