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Finding the Fourth Proportional to 1,383.64, 2,075.56 and 561.69

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Solution

The fourth proportional to 1,383.64, 2,075.56 and 561.69 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.64 : 2,075.56 = 561.69 : x
  2. Step 2: Convert to fraction form
    1,383.64/2,075.56 = 561.69/x
  3. Step 3: Cross multiply
    1,383.64x = 2,075.56 × 561.69
  4. Step 4: Simplify right side
    1,383.64x = 1,165,819.89
  5. Step 5: Solve for x
    x = 1,165,819.89/1,383.64
  6. Step 6: Final answer
    x = 842.58

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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.