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Finding the Fourth Proportional to 677.17, 1,015.26 and 512.47

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Solution

The fourth proportional to 677.17, 1,015.26 and 512.47 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.17 : 1,015.26 = 512.47 : x
  2. Step 2: Convert to fraction form
    677.17/1,015.26 = 512.47/x
  3. Step 3: Cross multiply
    677.17x = 1,015.26 × 512.47
  4. Step 4: Simplify right side
    677.17x = 520,290.29
  5. Step 5: Solve for x
    x = 520,290.29/677.17
  6. Step 6: Final answer
    x = 768.33

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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.