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Finding the Fourth Proportional to 1,386.20, 2,080.28 and 770.39

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Solution

The fourth proportional to 1,386.20, 2,080.28 and 770.39 is: 1,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.20 : 2,080.28 = 770.39 : x
  2. Step 2: Convert to fraction form
    1,386.20/2,080.28 = 770.39/x
  3. Step 3: Cross multiply
    1,386.20x = 2,080.28 × 770.39
  4. Step 4: Simplify right side
    1,386.20x = 1,602,612.66
  5. Step 5: Solve for x
    x = 1,602,612.66/1,386.20
  6. Step 6: Final answer
    x = 1,156.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.