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Finding the Fourth Proportional to 677.27, 1,016.09 and 287.08

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Solution

The fourth proportional to 677.27, 1,016.09 and 287.08 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.27 : 1,016.09 = 287.08 : x
  2. Step 2: Convert to fraction form
    677.27/1,016.09 = 287.08/x
  3. Step 3: Cross multiply
    677.27x = 1,016.09 × 287.08
  4. Step 4: Simplify right side
    677.27x = 291,692.60
  5. Step 5: Solve for x
    x = 291,692.60/677.27
  6. Step 6: Final answer
    x = 430.69

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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.