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Finding the Fourth Proportional to 1,026.33, 1,415.84 and 633.27

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Solution

The fourth proportional to 1,026.33, 1,415.84 and 633.27 is: 873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,415.84 = 633.27 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,415.84 = 633.27/x
  3. Step 3: Cross multiply
    1,026.33x = 1,415.84 × 633.27
  4. Step 4: Simplify right side
    1,026.33x = 896,609.00
  5. Step 5: Solve for x
    x = 896,609.00/1,026.33
  6. Step 6: Final answer
    x = 873.61

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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.