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Finding the Fourth Proportional to 834.23, 1,148.54 and 686.60

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Solution

The fourth proportional to 834.23, 1,148.54 and 686.60 is: 945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,148.54 = 686.60 : x
  2. Step 2: Convert to fraction form
    834.23/1,148.54 = 686.60/x
  3. Step 3: Cross multiply
    834.23x = 1,148.54 × 686.60
  4. Step 4: Simplify right side
    834.23x = 788,578.39
  5. Step 5: Solve for x
    x = 788,578.39/834.23
  6. Step 6: Final answer
    x = 945.28

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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.