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Finding the Fourth Proportional to 1,274.95, 1,912.69 and 442.08

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Solution

The fourth proportional to 1,274.95, 1,912.69 and 442.08 is: 663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.95 : 1,912.69 = 442.08 : x
  2. Step 2: Convert to fraction form
    1,274.95/1,912.69 = 442.08/x
  3. Step 3: Cross multiply
    1,274.95x = 1,912.69 × 442.08
  4. Step 4: Simplify right side
    1,274.95x = 845,562.00
  5. Step 5: Solve for x
    x = 845,562.00/1,274.95
  6. Step 6: Final answer
    x = 663.21

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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.