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Finding the Fourth Proportional to 1,577.19, 2,176.42 and 869

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Solution

The fourth proportional to 1,577.19, 2,176.42 and 869 is: 1,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.19 : 2,176.42 = 869 : x
  2. Step 2: Convert to fraction form
    1,577.19/2,176.42 = 869/x
  3. Step 3: Cross multiply
    1,577.19x = 2,176.42 × 869
  4. Step 4: Simplify right side
    1,577.19x = 1,891,308.98
  5. Step 5: Solve for x
    x = 1,891,308.98/1,577.19
  6. Step 6: Final answer
    x = 1,199.16

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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.