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Finding the Fourth Proportional to 816.84, 1,129.14 and 676.44

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Solution

The fourth proportional to 816.84, 1,129.14 and 676.44 is: 935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.84 : 1,129.14 = 676.44 : x
  2. Step 2: Convert to fraction form
    816.84/1,129.14 = 676.44/x
  3. Step 3: Cross multiply
    816.84x = 1,129.14 × 676.44
  4. Step 4: Simplify right side
    816.84x = 763,795.46
  5. Step 5: Solve for x
    x = 763,795.46/816.84
  6. Step 6: Final answer
    x = 935.06

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1.5x scale

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.