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Finding the Fourth Proportional to 789.05, 1,087.17 and 526.61

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Solution

The fourth proportional to 789.05, 1,087.17 and 526.61 is: 725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 1,087.17 = 526.61 : x
  2. Step 2: Convert to fraction form
    789.05/1,087.17 = 526.61/x
  3. Step 3: Cross multiply
    789.05x = 1,087.17 × 526.61
  4. Step 4: Simplify right side
    789.05x = 572,514.59
  5. Step 5: Solve for x
    x = 572,514.59/789.05
  6. Step 6: Final answer
    x = 725.57

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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.