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Finding the Fourth Proportional to 677.26, 1,015.90 and 578.86

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Solution

The fourth proportional to 677.26, 1,015.90 and 578.86 is: 868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.26 : 1,015.90 = 578.86 : x
  2. Step 2: Convert to fraction form
    677.26/1,015.90 = 578.86/x
  3. Step 3: Cross multiply
    677.26x = 1,015.90 × 578.86
  4. Step 4: Simplify right side
    677.26x = 588,063.87
  5. Step 5: Solve for x
    x = 588,063.87/677.26
  6. Step 6: Final answer
    x = 868.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.