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Finding the Fourth Proportional to 1,179.83, 1,770.65 and 632.46

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Solution

The fourth proportional to 1,179.83, 1,770.65 and 632.46 is: 949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.83 : 1,770.65 = 632.46 : x
  2. Step 2: Convert to fraction form
    1,179.83/1,770.65 = 632.46/x
  3. Step 3: Cross multiply
    1,179.83x = 1,770.65 × 632.46
  4. Step 4: Simplify right side
    1,179.83x = 1,119,862.14
  5. Step 5: Solve for x
    x = 1,119,862.14/1,179.83
  6. Step 6: Final answer
    x = 949.18

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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.