Home / 1,205.20-1,663.08-707.80

Finding the Fourth Proportional to 1,205.20, 1,663.08 and 707.80

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Solution

The fourth proportional to 1,205.20, 1,663.08 and 707.80 is: 976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.20 : 1,663.08 = 707.80 : x
  2. Step 2: Convert to fraction form
    1,205.20/1,663.08 = 707.80/x
  3. Step 3: Cross multiply
    1,205.20x = 1,663.08 × 707.80
  4. Step 4: Simplify right side
    1,205.20x = 1,177,128.02
  5. Step 5: Solve for x
    x = 1,177,128.02/1,205.20
  6. Step 6: Final answer
    x = 976.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.