Home / 1,163.12-1,742.88-432.50

Finding the Fourth Proportional to 1,163.12, 1,742.88 and 432.50

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Solution

The fourth proportional to 1,163.12, 1,742.88 and 432.50 is: 648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.12 : 1,742.88 = 432.50 : x
  2. Step 2: Convert to fraction form
    1,163.12/1,742.88 = 432.50/x
  3. Step 3: Cross multiply
    1,163.12x = 1,742.88 × 432.50
  4. Step 4: Simplify right side
    1,163.12x = 753,795.60
  5. Step 5: Solve for x
    x = 753,795.60/1,163.12
  6. Step 6: Final answer
    x = 648.08

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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.