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Finding the Fourth Proportional to 1,016.72, 1,525.08 and 286.31

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Solution

The fourth proportional to 1,016.72, 1,525.08 and 286.31 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.72 : 1,525.08 = 286.31 : x
  2. Step 2: Convert to fraction form
    1,016.72/1,525.08 = 286.31/x
  3. Step 3: Cross multiply
    1,016.72x = 1,525.08 × 286.31
  4. Step 4: Simplify right side
    1,016.72x = 436,645.65
  5. Step 5: Solve for x
    x = 436,645.65/1,016.72
  6. Step 6: Final answer
    x = 429.47

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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.