Home / 1,162.07-1,742.87-576.46

Finding the Fourth Proportional to 1,162.07, 1,742.87 and 576.46

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Solution

The fourth proportional to 1,162.07, 1,742.87 and 576.46 is: 864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.07 : 1,742.87 = 576.46 : x
  2. Step 2: Convert to fraction form
    1,162.07/1,742.87 = 576.46/x
  3. Step 3: Cross multiply
    1,162.07x = 1,742.87 × 576.46
  4. Step 4: Simplify right side
    1,162.07x = 1,004,686.13
  5. Step 5: Solve for x
    x = 1,004,686.13/1,162.07
  6. Step 6: Final answer
    x = 864.57

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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.