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Finding the Fourth Proportional to 1,359.56, 1,876.26 and 770.30

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Solution

The fourth proportional to 1,359.56, 1,876.26 and 770.30 is: 1,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.56 : 1,876.26 = 770.30 : x
  2. Step 2: Convert to fraction form
    1,359.56/1,876.26 = 770.30/x
  3. Step 3: Cross multiply
    1,359.56x = 1,876.26 × 770.30
  4. Step 4: Simplify right side
    1,359.56x = 1,445,283.08
  5. Step 5: Solve for x
    x = 1,445,283.08/1,359.56
  6. Step 6: Final answer
    x = 1,063.05

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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.