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Finding the Fourth Proportional to 1,182.45, 1,774.58 and 770.57

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Solution

The fourth proportional to 1,182.45, 1,774.58 and 770.57 is: 1,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.45 : 1,774.58 = 770.57 : x
  2. Step 2: Convert to fraction form
    1,182.45/1,774.58 = 770.57/x
  3. Step 3: Cross multiply
    1,182.45x = 1,774.58 × 770.57
  4. Step 4: Simplify right side
    1,182.45x = 1,367,425.38
  5. Step 5: Solve for x
    x = 1,367,425.38/1,182.45
  6. Step 6: Final answer
    x = 1,156.43

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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.