Home / 1,780.17-2,455.43-1,159.17

Finding the Fourth Proportional to 1,780.17, 2,455.43 and 1,159.17

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Solution

The fourth proportional to 1,780.17, 2,455.43 and 1,159.17 is: 1,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.17 : 2,455.43 = 1,159.17 : x
  2. Step 2: Convert to fraction form
    1,780.17/2,455.43 = 1,159.17/x
  3. Step 3: Cross multiply
    1,780.17x = 2,455.43 × 1,159.17
  4. Step 4: Simplify right side
    1,780.17x = 2,846,260.79
  5. Step 5: Solve for x
    x = 2,846,260.79/1,780.17
  6. Step 6: Final answer
    x = 1,598.87

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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.