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Finding the Fourth Proportional to 677.35, 1,015.25 and 369.35

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Solution

The fourth proportional to 677.35, 1,015.25 and 369.35 is: 553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.35 : 1,015.25 = 369.35 : x
  2. Step 2: Convert to fraction form
    677.35/1,015.25 = 369.35/x
  3. Step 3: Cross multiply
    677.35x = 1,015.25 × 369.35
  4. Step 4: Simplify right side
    677.35x = 374,982.59
  5. Step 5: Solve for x
    x = 374,982.59/677.35
  6. Step 6: Final answer
    x = 553.60

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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.