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Finding the Fourth Proportional to 982.94, 1,472.58 and 572.27

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Solution

The fourth proportional to 982.94, 1,472.58 and 572.27 is: 857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.94 : 1,472.58 = 572.27 : x
  2. Step 2: Convert to fraction form
    982.94/1,472.58 = 572.27/x
  3. Step 3: Cross multiply
    982.94x = 1,472.58 × 572.27
  4. Step 4: Simplify right side
    982.94x = 842,705.99
  5. Step 5: Solve for x
    x = 842,705.99/982.94
  6. Step 6: Final answer
    x = 857.34

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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.