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Finding the Fourth Proportional to 1,021.81, 1,409.89 and 590.55

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Solution

The fourth proportional to 1,021.81, 1,409.89 and 590.55 is: 814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.81 : 1,409.89 = 590.55 : x
  2. Step 2: Convert to fraction form
    1,021.81/1,409.89 = 590.55/x
  3. Step 3: Cross multiply
    1,021.81x = 1,409.89 × 590.55
  4. Step 4: Simplify right side
    1,021.81x = 832,610.54
  5. Step 5: Solve for x
    x = 832,610.54/1,021.81
  6. Step 6: Final answer
    x = 814.84

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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.