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Finding the Fourth Proportional to 1,127.28, 1,690.84 and 386.84

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Solution

The fourth proportional to 1,127.28, 1,690.84 and 386.84 is: 580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.28 : 1,690.84 = 386.84 : x
  2. Step 2: Convert to fraction form
    1,127.28/1,690.84 = 386.84/x
  3. Step 3: Cross multiply
    1,127.28x = 1,690.84 × 386.84
  4. Step 4: Simplify right side
    1,127.28x = 654,089.26
  5. Step 5: Solve for x
    x = 654,089.26/1,127.28
  6. Step 6: Final answer
    x = 580.23

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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.