Home / 1,004.02-1,503.29-759.81

Finding the Fourth Proportional to 1,004.02, 1,503.29 and 759.81

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Solution

The fourth proportional to 1,004.02, 1,503.29 and 759.81 is: 1,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.02 : 1,503.29 = 759.81 : x
  2. Step 2: Convert to fraction form
    1,004.02/1,503.29 = 759.81/x
  3. Step 3: Cross multiply
    1,004.02x = 1,503.29 × 759.81
  4. Step 4: Simplify right side
    1,004.02x = 1,142,207.26
  5. Step 5: Solve for x
    x = 1,142,207.26/1,004.02
  6. Step 6: Final answer
    x = 1,137.63

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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.