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Finding the Fourth Proportional to 1,445.80, 2,158.19 and 1,339

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Solution

The fourth proportional to 1,445.80, 2,158.19 and 1,339 is: 1,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.80 : 2,158.19 = 1,339 : x
  2. Step 2: Convert to fraction form
    1,445.80/2,158.19 = 1,339/x
  3. Step 3: Cross multiply
    1,445.80x = 2,158.19 × 1,339
  4. Step 4: Simplify right side
    1,445.80x = 2,889,816.41
  5. Step 5: Solve for x
    x = 2,889,816.41/1,445.80
  6. Step 6: Final answer
    x = 1,998.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.