Home / 1,164.29-1,604.61-943.76

Finding the Fourth Proportional to 1,164.29, 1,604.61 and 943.76

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Solution

The fourth proportional to 1,164.29, 1,604.61 and 943.76 is: 1,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.29 : 1,604.61 = 943.76 : x
  2. Step 2: Convert to fraction form
    1,164.29/1,604.61 = 943.76/x
  3. Step 3: Cross multiply
    1,164.29x = 1,604.61 × 943.76
  4. Step 4: Simplify right side
    1,164.29x = 1,514,370.75
  5. Step 5: Solve for x
    x = 1,514,370.75/1,164.29
  6. Step 6: Final answer
    x = 1,300.69

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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.