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Finding the Fourth Proportional to 1,035.39, 1,428.43 and 615.44

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Solution

The fourth proportional to 1,035.39, 1,428.43 and 615.44 is: 849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.39 : 1,428.43 = 615.44 : x
  2. Step 2: Convert to fraction form
    1,035.39/1,428.43 = 615.44/x
  3. Step 3: Cross multiply
    1,035.39x = 1,428.43 × 615.44
  4. Step 4: Simplify right side
    1,035.39x = 879,112.96
  5. Step 5: Solve for x
    x = 879,112.96/1,035.39
  6. Step 6: Final answer
    x = 849.06

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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.