Home / 1,189.23-1,784.11-458.84

Finding the Fourth Proportional to 1,189.23, 1,784.11 and 458.84

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Solution

The fourth proportional to 1,189.23, 1,784.11 and 458.84 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.23 : 1,784.11 = 458.84 : x
  2. Step 2: Convert to fraction form
    1,189.23/1,784.11 = 458.84/x
  3. Step 3: Cross multiply
    1,189.23x = 1,784.11 × 458.84
  4. Step 4: Simplify right side
    1,189.23x = 818,618.74
  5. Step 5: Solve for x
    x = 818,618.74/1,189.23
  6. Step 6: Final answer
    x = 688.36

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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.