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Finding the Fourth Proportional to 836.67, 1,153.64 and 626.51

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Solution

The fourth proportional to 836.67, 1,153.64 and 626.51 is: 863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.67 : 1,153.64 = 626.51 : x
  2. Step 2: Convert to fraction form
    836.67/1,153.64 = 626.51/x
  3. Step 3: Cross multiply
    836.67x = 1,153.64 × 626.51
  4. Step 4: Simplify right side
    836.67x = 722,758.10
  5. Step 5: Solve for x
    x = 722,758.10/836.67
  6. Step 6: Final answer
    x = 863.85

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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.