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Finding the Fourth Proportional to 1,383.58, 2,075.61 and 517.87

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Solution

The fourth proportional to 1,383.58, 2,075.61 and 517.87 is: 776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.58 : 2,075.61 = 517.87 : x
  2. Step 2: Convert to fraction form
    1,383.58/2,075.61 = 517.87/x
  3. Step 3: Cross multiply
    1,383.58x = 2,075.61 × 517.87
  4. Step 4: Simplify right side
    1,383.58x = 1,074,896.15
  5. Step 5: Solve for x
    x = 1,074,896.15/1,383.58
  6. Step 6: Final answer
    x = 776.89

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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.