Home / 1,189.52-1,784.58-458.90

Finding the Fourth Proportional to 1,189.52, 1,784.58 and 458.90

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Solution

The fourth proportional to 1,189.52, 1,784.58 and 458.90 is: 688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.52 : 1,784.58 = 458.90 : x
  2. Step 2: Convert to fraction form
    1,189.52/1,784.58 = 458.90/x
  3. Step 3: Cross multiply
    1,189.52x = 1,784.58 × 458.90
  4. Step 4: Simplify right side
    1,189.52x = 818,932.54
  5. Step 5: Solve for x
    x = 818,932.54/1,189.52
  6. Step 6: Final answer
    x = 688.46

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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.