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Finding the Fourth Proportional to 1,015.94, 1,526.90 and 843.72

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Solution

The fourth proportional to 1,015.94, 1,526.90 and 843.72 is: 1,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.94 : 1,526.90 = 843.72 : x
  2. Step 2: Convert to fraction form
    1,015.94/1,526.90 = 843.72/x
  3. Step 3: Cross multiply
    1,015.94x = 1,526.90 × 843.72
  4. Step 4: Simplify right side
    1,015.94x = 1,288,276.07
  5. Step 5: Solve for x
    x = 1,288,276.07/1,015.94
  6. Step 6: Final answer
    x = 1,268.06

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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.