Home / 1,105.24-1,656.60-488.02

Finding the Fourth Proportional to 1,105.24, 1,656.60 and 488.02

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Solution

The fourth proportional to 1,105.24, 1,656.60 and 488.02 is: 731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.24 : 1,656.60 = 488.02 : x
  2. Step 2: Convert to fraction form
    1,105.24/1,656.60 = 488.02/x
  3. Step 3: Cross multiply
    1,105.24x = 1,656.60 × 488.02
  4. Step 4: Simplify right side
    1,105.24x = 808,453.93
  5. Step 5: Solve for x
    x = 808,453.93/1,105.24
  6. Step 6: Final answer
    x = 731.47

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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.