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Finding the Fourth Proportional to 643.44, 965.60 and 278.27

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Solution

The fourth proportional to 643.44, 965.60 and 278.27 is: 417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.44 : 965.60 = 278.27 : x
  2. Step 2: Convert to fraction form
    643.44/965.60 = 278.27/x
  3. Step 3: Cross multiply
    643.44x = 965.60 × 278.27
  4. Step 4: Simplify right side
    643.44x = 268,697.51
  5. Step 5: Solve for x
    x = 268,697.51/643.44
  6. Step 6: Final answer
    x = 417.60

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1.5x scale

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.