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Finding the Fourth Proportional to 1,021.83, 1,410.48 and 628.89

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Solution

The fourth proportional to 1,021.83, 1,410.48 and 628.89 is: 868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.83 : 1,410.48 = 628.89 : x
  2. Step 2: Convert to fraction form
    1,021.83/1,410.48 = 628.89/x
  3. Step 3: Cross multiply
    1,021.83x = 1,410.48 × 628.89
  4. Step 4: Simplify right side
    1,021.83x = 887,036.77
  5. Step 5: Solve for x
    x = 887,036.77/1,021.83
  6. Step 6: Final answer
    x = 868.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.