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Finding the Fourth Proportional to 922.79, 1,274.05 and 712.60

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Solution

The fourth proportional to 922.79, 1,274.05 and 712.60 is: 983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.79 : 1,274.05 = 712.60 : x
  2. Step 2: Convert to fraction form
    922.79/1,274.05 = 712.60/x
  3. Step 3: Cross multiply
    922.79x = 1,274.05 × 712.60
  4. Step 4: Simplify right side
    922.79x = 907,887.74
  5. Step 5: Solve for x
    x = 907,887.74/922.79
  6. Step 6: Final answer
    x = 983.85

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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.