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Finding the Fourth Proportional to 654.70, 902.33 and 578.33

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Solution

The fourth proportional to 654.70, 902.33 and 578.33 is: 797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.70 : 902.33 = 578.33 : x
  2. Step 2: Convert to fraction form
    654.70/902.33 = 578.33/x
  3. Step 3: Cross multiply
    654.70x = 902.33 × 578.33
  4. Step 4: Simplify right side
    654.70x = 521,844.28
  5. Step 5: Solve for x
    x = 521,844.28/654.70
  6. Step 6: Final answer
    x = 797.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.