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Finding the Fourth Proportional to 1,075.38, 1,616.67 and 832.02

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Solution

The fourth proportional to 1,075.38, 1,616.67 and 832.02 is: 1,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.38 : 1,616.67 = 832.02 : x
  2. Step 2: Convert to fraction form
    1,075.38/1,616.67 = 832.02/x
  3. Step 3: Cross multiply
    1,075.38x = 1,616.67 × 832.02
  4. Step 4: Simplify right side
    1,075.38x = 1,345,101.77
  5. Step 5: Solve for x
    x = 1,345,101.77/1,075.38
  6. Step 6: Final answer
    x = 1,250.82

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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.