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Finding the Fourth Proportional to 834.96, 1,152.72 and 681.60

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Solution

The fourth proportional to 834.96, 1,152.72 and 681.60 is: 941.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,152.72 = 681.60 : x
  2. Step 2: Convert to fraction form
    834.96/1,152.72 = 681.60/x
  3. Step 3: Cross multiply
    834.96x = 1,152.72 × 681.60
  4. Step 4: Simplify right side
    834.96x = 785,693.95
  5. Step 5: Solve for x
    x = 785,693.95/834.96
  6. Step 6: Final answer
    x = 941.00

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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.