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Finding the Fourth Proportional to 834.88, 1,152.96 and 688

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Solution

The fourth proportional to 834.88, 1,152.96 and 688 is: 950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.88 : 1,152.96 = 688 : x
  2. Step 2: Convert to fraction form
    834.88/1,152.96 = 688/x
  3. Step 3: Cross multiply
    834.88x = 1,152.96 × 688
  4. Step 4: Simplify right side
    834.88x = 793,236.48
  5. Step 5: Solve for x
    x = 793,236.48/834.88
  6. Step 6: Final answer
    x = 950.12

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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.