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Finding the Fourth Proportional to 1,021.59, 1,409.83 and 628.74

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Solution

The fourth proportional to 1,021.59, 1,409.83 and 628.74 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.59 : 1,409.83 = 628.74 : x
  2. Step 2: Convert to fraction form
    1,021.59/1,409.83 = 628.74/x
  3. Step 3: Cross multiply
    1,021.59x = 1,409.83 × 628.74
  4. Step 4: Simplify right side
    1,021.59x = 886,416.51
  5. Step 5: Solve for x
    x = 886,416.51/1,021.59
  6. Step 6: Final answer
    x = 867.68

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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.