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Finding the Fourth Proportional to 677.43, 1,016.53 and 287.39

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Solution

The fourth proportional to 677.43, 1,016.53 and 287.39 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.43 : 1,016.53 = 287.39 : x
  2. Step 2: Convert to fraction form
    677.43/1,016.53 = 287.39/x
  3. Step 3: Cross multiply
    677.43x = 1,016.53 × 287.39
  4. Step 4: Simplify right side
    677.43x = 292,142.38
  5. Step 5: Solve for x
    x = 292,142.38/677.43
  6. Step 6: Final answer
    x = 431.25

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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.