Home / 1,163.85-1,746.34-547.61

Finding the Fourth Proportional to 1,163.85, 1,746.34 and 547.61

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Solution

The fourth proportional to 1,163.85, 1,746.34 and 547.61 is: 821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.85 : 1,746.34 = 547.61 : x
  2. Step 2: Convert to fraction form
    1,163.85/1,746.34 = 547.61/x
  3. Step 3: Cross multiply
    1,163.85x = 1,746.34 × 547.61
  4. Step 4: Simplify right side
    1,163.85x = 956,316.24
  5. Step 5: Solve for x
    x = 956,316.24/1,163.85
  6. Step 6: Final answer
    x = 821.69

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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.