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Finding the Fourth Proportional to 1,015.00, 1,526.14 and 812.09

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Solution

The fourth proportional to 1,015.00, 1,526.14 and 812.09 is: 1,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.00 : 1,526.14 = 812.09 : x
  2. Step 2: Convert to fraction form
    1,015.00/1,526.14 = 812.09/x
  3. Step 3: Cross multiply
    1,015.00x = 1,526.14 × 812.09
  4. Step 4: Simplify right side
    1,015.00x = 1,239,367.86
  5. Step 5: Solve for x
    x = 1,239,367.86/1,015.00
  6. Step 6: Final answer
    x = 1,221.06

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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.