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Finding the Fourth Proportional to 922.09, 1,271.53 and 712.30

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Solution

The fourth proportional to 922.09, 1,271.53 and 712.30 is: 982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.09 : 1,271.53 = 712.30 : x
  2. Step 2: Convert to fraction form
    922.09/1,271.53 = 712.30/x
  3. Step 3: Cross multiply
    922.09x = 1,271.53 × 712.30
  4. Step 4: Simplify right side
    922.09x = 905,707.26
  5. Step 5: Solve for x
    x = 905,707.26/922.09
  6. Step 6: Final answer
    x = 982.23

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Why These Related Problems?

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