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Finding the Fourth Proportional to 1,002, 1,382.80 and 559.96

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Solution

The fourth proportional to 1,002, 1,382.80 and 559.96 is: 772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002 : 1,382.80 = 559.96 : x
  2. Step 2: Convert to fraction form
    1,002/1,382.80 = 559.96/x
  3. Step 3: Cross multiply
    1,002x = 1,382.80 × 559.96
  4. Step 4: Simplify right side
    1,002x = 774,312.69
  5. Step 5: Solve for x
    x = 774,312.69/1,002
  6. Step 6: Final answer
    x = 772.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.