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Finding the Fourth Proportional to 654.44, 909.39 and 646.28

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Solution

The fourth proportional to 654.44, 909.39 and 646.28 is: 898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 909.39 = 646.28 : x
  2. Step 2: Convert to fraction form
    654.44/909.39 = 646.28/x
  3. Step 3: Cross multiply
    654.44x = 909.39 × 646.28
  4. Step 4: Simplify right side
    654.44x = 587,720.57
  5. Step 5: Solve for x
    x = 587,720.57/654.44
  6. Step 6: Final answer
    x = 898.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.