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Finding the Fourth Proportional to 1,179.84, 1,628.16 and 830.08

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Solution

The fourth proportional to 1,179.84, 1,628.16 and 830.08 is: 1,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.84 : 1,628.16 = 830.08 : x
  2. Step 2: Convert to fraction form
    1,179.84/1,628.16 = 830.08/x
  3. Step 3: Cross multiply
    1,179.84x = 1,628.16 × 830.08
  4. Step 4: Simplify right side
    1,179.84x = 1,351,503.05
  5. Step 5: Solve for x
    x = 1,351,503.05/1,179.84
  6. Step 6: Final answer
    x = 1,145.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.