Home / 1,189.14-1,784.01-458.52

Finding the Fourth Proportional to 1,189.14, 1,784.01 and 458.52

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Solution

The fourth proportional to 1,189.14, 1,784.01 and 458.52 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.14 : 1,784.01 = 458.52 : x
  2. Step 2: Convert to fraction form
    1,189.14/1,784.01 = 458.52/x
  3. Step 3: Cross multiply
    1,189.14x = 1,784.01 × 458.52
  4. Step 4: Simplify right side
    1,189.14x = 818,004.27
  5. Step 5: Solve for x
    x = 818,004.27/1,189.14
  6. Step 6: Final answer
    x = 687.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.