Home / 1,163.84-1,746.01-547.55

Finding the Fourth Proportional to 1,163.84, 1,746.01 and 547.55

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Solution

The fourth proportional to 1,163.84, 1,746.01 and 547.55 is: 821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.84 : 1,746.01 = 547.55 : x
  2. Step 2: Convert to fraction form
    1,163.84/1,746.01 = 547.55/x
  3. Step 3: Cross multiply
    1,163.84x = 1,746.01 × 547.55
  4. Step 4: Simplify right side
    1,163.84x = 956,027.78
  5. Step 5: Solve for x
    x = 956,027.78/1,163.84
  6. Step 6: Final answer
    x = 821.44

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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.