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Finding the Fourth Proportional to 677.82, 1,016.73 and 434.10

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Solution

The fourth proportional to 677.82, 1,016.73 and 434.10 is: 651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.82 : 1,016.73 = 434.10 : x
  2. Step 2: Convert to fraction form
    677.82/1,016.73 = 434.10/x
  3. Step 3: Cross multiply
    677.82x = 1,016.73 × 434.10
  4. Step 4: Simplify right side
    677.82x = 441,362.49
  5. Step 5: Solve for x
    x = 441,362.49/677.82
  6. Step 6: Final answer
    x = 651.15

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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.