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Finding the Fourth Proportional to 1,184.84, 1,777.20 and 839.68

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Solution

The fourth proportional to 1,184.84, 1,777.20 and 839.68 is: 1,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.84 : 1,777.20 = 839.68 : x
  2. Step 2: Convert to fraction form
    1,184.84/1,777.20 = 839.68/x
  3. Step 3: Cross multiply
    1,184.84x = 1,777.20 × 839.68
  4. Step 4: Simplify right side
    1,184.84x = 1,492,279.30
  5. Step 5: Solve for x
    x = 1,492,279.30/1,184.84
  6. Step 6: Final answer
    x = 1,259.48

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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.