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Finding the Fourth Proportional to 654.97, 983.02 and 578.13

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Solution

The fourth proportional to 654.97, 983.02 and 578.13 is: 867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.97 : 983.02 = 578.13 : x
  2. Step 2: Convert to fraction form
    654.97/983.02 = 578.13/x
  3. Step 3: Cross multiply
    654.97x = 983.02 × 578.13
  4. Step 4: Simplify right side
    654.97x = 568,313.35
  5. Step 5: Solve for x
    x = 568,313.35/654.97
  6. Step 6: Final answer
    x = 867.69

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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.