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Finding the Fourth Proportional to 1,478.88, 2,049.48 and 1,458

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Solution

The fourth proportional to 1,478.88, 2,049.48 and 1,458 is: 2,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.88 : 2,049.48 = 1,458 : x
  2. Step 2: Convert to fraction form
    1,478.88/2,049.48 = 1,458/x
  3. Step 3: Cross multiply
    1,478.88x = 2,049.48 × 1,458
  4. Step 4: Simplify right side
    1,478.88x = 2,988,141.84
  5. Step 5: Solve for x
    x = 2,988,141.84/1,478.88
  6. Step 6: Final answer
    x = 2,020.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.