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Finding the Fourth Proportional to 1,283.51, 1,763.54 and 1,021.07

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Solution

The fourth proportional to 1,283.51, 1,763.54 and 1,021.07 is: 1,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.51 : 1,763.54 = 1,021.07 : x
  2. Step 2: Convert to fraction form
    1,283.51/1,763.54 = 1,021.07/x
  3. Step 3: Cross multiply
    1,283.51x = 1,763.54 × 1,021.07
  4. Step 4: Simplify right side
    1,283.51x = 1,800,683.86
  5. Step 5: Solve for x
    x = 1,800,683.86/1,283.51
  6. Step 6: Final answer
    x = 1,402.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.