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Finding the Fourth Proportional to 1,014.92, 1,525.40 and 842.72

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Solution

The fourth proportional to 1,014.92, 1,525.40 and 842.72 is: 1,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.92 : 1,525.40 = 842.72 : x
  2. Step 2: Convert to fraction form
    1,014.92/1,525.40 = 842.72/x
  3. Step 3: Cross multiply
    1,014.92x = 1,525.40 × 842.72
  4. Step 4: Simplify right side
    1,014.92x = 1,285,485.09
  5. Step 5: Solve for x
    x = 1,285,485.09/1,014.92
  6. Step 6: Final answer
    x = 1,266.59

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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.