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Finding the Fourth Proportional to 1,016.98, 1,525.34 and 286.58

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Solution

The fourth proportional to 1,016.98, 1,525.34 and 286.58 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.98 : 1,525.34 = 286.58 : x
  2. Step 2: Convert to fraction form
    1,016.98/1,525.34 = 286.58/x
  3. Step 3: Cross multiply
    1,016.98x = 1,525.34 × 286.58
  4. Step 4: Simplify right side
    1,016.98x = 437,131.94
  5. Step 5: Solve for x
    x = 437,131.94/1,016.98
  6. Step 6: Final answer
    x = 429.83

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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.