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Finding the Fourth Proportional to 1,189.84, 1,783.48 and 459.20

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Solution

The fourth proportional to 1,189.84, 1,783.48 and 459.20 is: 688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.84 : 1,783.48 = 459.20 : x
  2. Step 2: Convert to fraction form
    1,189.84/1,783.48 = 459.20/x
  3. Step 3: Cross multiply
    1,189.84x = 1,783.48 × 459.20
  4. Step 4: Simplify right side
    1,189.84x = 818,974.02
  5. Step 5: Solve for x
    x = 818,974.02/1,189.84
  6. Step 6: Final answer
    x = 688.31

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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.