Home / 1,004.02-1,504.95-541.78

Finding the Fourth Proportional to 1,004.02, 1,504.95 and 541.78

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Solution

The fourth proportional to 1,004.02, 1,504.95 and 541.78 is: 812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.02 : 1,504.95 = 541.78 : x
  2. Step 2: Convert to fraction form
    1,004.02/1,504.95 = 541.78/x
  3. Step 3: Cross multiply
    1,004.02x = 1,504.95 × 541.78
  4. Step 4: Simplify right side
    1,004.02x = 815,351.81
  5. Step 5: Solve for x
    x = 815,351.81/1,004.02
  6. Step 6: Final answer
    x = 812.09

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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.