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Finding the Fourth Proportional to 1,035.05, 1,427.98 and 615.41

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Solution

The fourth proportional to 1,035.05, 1,427.98 and 615.41 is: 849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.05 : 1,427.98 = 615.41 : x
  2. Step 2: Convert to fraction form
    1,035.05/1,427.98 = 615.41/x
  3. Step 3: Cross multiply
    1,035.05x = 1,427.98 × 615.41
  4. Step 4: Simplify right side
    1,035.05x = 878,799.03
  5. Step 5: Solve for x
    x = 878,799.03/1,035.05
  6. Step 6: Final answer
    x = 849.04

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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.