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Finding the Fourth Proportional to 1,021.81, 1,526.09 and 837.13

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Solution

The fourth proportional to 1,021.81, 1,526.09 and 837.13 is: 1,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.81 : 1,526.09 = 837.13 : x
  2. Step 2: Convert to fraction form
    1,021.81/1,526.09 = 837.13/x
  3. Step 3: Cross multiply
    1,021.81x = 1,526.09 × 837.13
  4. Step 4: Simplify right side
    1,021.81x = 1,277,535.72
  5. Step 5: Solve for x
    x = 1,277,535.72/1,021.81
  6. Step 6: Final answer
    x = 1,250.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.