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Finding the Fourth Proportional to 1,218.29, 1,826.84 and 632.69

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Solution

The fourth proportional to 1,218.29, 1,826.84 and 632.69 is: 948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.29 : 1,826.84 = 632.69 : x
  2. Step 2: Convert to fraction form
    1,218.29/1,826.84 = 632.69/x
  3. Step 3: Cross multiply
    1,218.29x = 1,826.84 × 632.69
  4. Step 4: Simplify right side
    1,218.29x = 1,155,832.97
  5. Step 5: Solve for x
    x = 1,155,832.97/1,218.29
  6. Step 6: Final answer
    x = 948.74

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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.