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Finding the Fourth Proportional to 1,282.04, 1,923.08 and 708.56

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Solution

The fourth proportional to 1,282.04, 1,923.08 and 708.56 is: 1,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.04 : 1,923.08 = 708.56 : x
  2. Step 2: Convert to fraction form
    1,282.04/1,923.08 = 708.56/x
  3. Step 3: Cross multiply
    1,282.04x = 1,923.08 × 708.56
  4. Step 4: Simplify right side
    1,282.04x = 1,362,617.56
  5. Step 5: Solve for x
    x = 1,362,617.56/1,282.04
  6. Step 6: Final answer
    x = 1,062.85

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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.