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Finding the Fourth Proportional to 677.38, 1,016 and 307.54

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Solution

The fourth proportional to 677.38, 1,016 and 307.54 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.38 : 1,016 = 307.54 : x
  2. Step 2: Convert to fraction form
    677.38/1,016 = 307.54/x
  3. Step 3: Cross multiply
    677.38x = 1,016 × 307.54
  4. Step 4: Simplify right side
    677.38x = 312,460.64
  5. Step 5: Solve for x
    x = 312,460.64/677.38
  6. Step 6: Final answer
    x = 461.28

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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.