Home / 1,577.29-2,176.63-869.20

Finding the Fourth Proportional to 1,577.29, 2,176.63 and 869.20

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Solution

The fourth proportional to 1,577.29, 2,176.63 and 869.20 is: 1,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.29 : 2,176.63 = 869.20 : x
  2. Step 2: Convert to fraction form
    1,577.29/2,176.63 = 869.20/x
  3. Step 3: Cross multiply
    1,577.29x = 2,176.63 × 869.20
  4. Step 4: Simplify right side
    1,577.29x = 1,891,932.95
  5. Step 5: Solve for x
    x = 1,891,932.95/1,577.29
  6. Step 6: Final answer
    x = 1,199.48

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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.