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Finding the Fourth Proportional to 1,436.44, 2,155.02 and 410.44

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Solution

The fourth proportional to 1,436.44, 2,155.02 and 410.44 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.44 : 2,155.02 = 410.44 : x
  2. Step 2: Convert to fraction form
    1,436.44/2,155.02 = 410.44/x
  3. Step 3: Cross multiply
    1,436.44x = 2,155.02 × 410.44
  4. Step 4: Simplify right side
    1,436.44x = 884,501.02
  5. Step 5: Solve for x
    x = 884,501.02/1,436.44
  6. Step 6: Final answer
    x = 615.76

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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.