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Finding the Fourth Proportional to 1,003.04, 1,505.13 and 540.81

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Solution

The fourth proportional to 1,003.04, 1,505.13 and 540.81 is: 811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.04 : 1,505.13 = 540.81 : x
  2. Step 2: Convert to fraction form
    1,003.04/1,505.13 = 540.81/x
  3. Step 3: Cross multiply
    1,003.04x = 1,505.13 × 540.81
  4. Step 4: Simplify right side
    1,003.04x = 813,989.36
  5. Step 5: Solve for x
    x = 813,989.36/1,003.04
  6. Step 6: Final answer
    x = 811.53

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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.