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Finding the Fourth Proportional to 1,382.64, 2,075.98 and 864.84

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Solution

The fourth proportional to 1,382.64, 2,075.98 and 864.84 is: 1,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.64 : 2,075.98 = 864.84 : x
  2. Step 2: Convert to fraction form
    1,382.64/2,075.98 = 864.84/x
  3. Step 3: Cross multiply
    1,382.64x = 2,075.98 × 864.84
  4. Step 4: Simplify right side
    1,382.64x = 1,795,390.54
  5. Step 5: Solve for x
    x = 1,795,390.54/1,382.64
  6. Step 6: Final answer
    x = 1,298.52

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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.