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Finding the Fourth Proportional to 941.48, 1,298.76 and 816.96

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Solution

The fourth proportional to 941.48, 1,298.76 and 816.96 is: 1,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.48 : 1,298.76 = 816.96 : x
  2. Step 2: Convert to fraction form
    941.48/1,298.76 = 816.96/x
  3. Step 3: Cross multiply
    941.48x = 1,298.76 × 816.96
  4. Step 4: Simplify right side
    941.48x = 1,061,034.97
  5. Step 5: Solve for x
    x = 1,061,034.97/941.48
  6. Step 6: Final answer
    x = 1,126.99

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