Home / 1,166.24-1,610.34-903.80

Finding the Fourth Proportional to 1,166.24, 1,610.34 and 903.80

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Solution

The fourth proportional to 1,166.24, 1,610.34 and 903.80 is: 1,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.24 : 1,610.34 = 903.80 : x
  2. Step 2: Convert to fraction form
    1,166.24/1,610.34 = 903.80/x
  3. Step 3: Cross multiply
    1,166.24x = 1,610.34 × 903.80
  4. Step 4: Simplify right side
    1,166.24x = 1,455,425.29
  5. Step 5: Solve for x
    x = 1,455,425.29/1,166.24
  6. Step 6: Final answer
    x = 1,247.96

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1.5x scale

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.