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Finding the Fourth Proportional to 1,320.66, 1,826.04 and 1,156.68

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Solution

The fourth proportional to 1,320.66, 1,826.04 and 1,156.68 is: 1,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.66 : 1,826.04 = 1,156.68 : x
  2. Step 2: Convert to fraction form
    1,320.66/1,826.04 = 1,156.68/x
  3. Step 3: Cross multiply
    1,320.66x = 1,826.04 × 1,156.68
  4. Step 4: Simplify right side
    1,320.66x = 2,112,143.95
  5. Step 5: Solve for x
    x = 2,112,143.95/1,320.66
  6. Step 6: Final answer
    x = 1,599.31

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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.