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Finding the Fourth Proportional to 801.90, 1,200.27 and 646.08

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Solution

The fourth proportional to 801.90, 1,200.27 and 646.08 is: 967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.90 : 1,200.27 = 646.08 : x
  2. Step 2: Convert to fraction form
    801.90/1,200.27 = 646.08/x
  3. Step 3: Cross multiply
    801.90x = 1,200.27 × 646.08
  4. Step 4: Simplify right side
    801.90x = 775,464.73
  5. Step 5: Solve for x
    x = 775,464.73/801.90
  6. Step 6: Final answer
    x = 967.03

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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.