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Finding the Fourth Proportional to 922.79, 1,273.02 and 712.75

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Solution

The fourth proportional to 922.79, 1,273.02 and 712.75 is: 983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.79 : 1,273.02 = 712.75 : x
  2. Step 2: Convert to fraction form
    922.79/1,273.02 = 712.75/x
  3. Step 3: Cross multiply
    922.79x = 1,273.02 × 712.75
  4. Step 4: Simplify right side
    922.79x = 907,341.54
  5. Step 5: Solve for x
    x = 907,341.54/922.79
  6. Step 6: Final answer
    x = 983.26

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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.