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Finding the Fourth Proportional to 654.09, 972.72 and 633.60

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Solution

The fourth proportional to 654.09, 972.72 and 633.60 is: 942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 972.72 = 633.60 : x
  2. Step 2: Convert to fraction form
    654.09/972.72 = 633.60/x
  3. Step 3: Cross multiply
    654.09x = 972.72 × 633.60
  4. Step 4: Simplify right side
    654.09x = 616,315.39
  5. Step 5: Solve for x
    x = 616,315.39/654.09
  6. Step 6: Final answer
    x = 942.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.