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Finding the Fourth Proportional to 1,386.13, 2,080.17 and 770.32

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Solution

The fourth proportional to 1,386.13, 2,080.17 and 770.32 is: 1,156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.13 : 2,080.17 = 770.32 : x
  2. Step 2: Convert to fraction form
    1,386.13/2,080.17 = 770.32/x
  3. Step 3: Cross multiply
    1,386.13x = 2,080.17 × 770.32
  4. Step 4: Simplify right side
    1,386.13x = 1,602,396.55
  5. Step 5: Solve for x
    x = 1,602,396.55/1,386.13
  6. Step 6: Final answer
    x = 1,156.02

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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.