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Finding the Fourth Proportional to 677.64, 1,016 and 369.24

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Solution

The fourth proportional to 677.64, 1,016 and 369.24 is: 553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 1,016 = 369.24 : x
  2. Step 2: Convert to fraction form
    677.64/1,016 = 369.24/x
  3. Step 3: Cross multiply
    677.64x = 1,016 × 369.24
  4. Step 4: Simplify right side
    677.64x = 375,147.84
  5. Step 5: Solve for x
    x = 375,147.84/677.64
  6. Step 6: Final answer
    x = 553.61

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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.