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Finding the Fourth Proportional to 1,003.13, 1,505.07 and 483.11

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Solution

The fourth proportional to 1,003.13, 1,505.07 and 483.11 is: 724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.13 : 1,505.07 = 483.11 : x
  2. Step 2: Convert to fraction form
    1,003.13/1,505.07 = 483.11/x
  3. Step 3: Cross multiply
    1,003.13x = 1,505.07 × 483.11
  4. Step 4: Simplify right side
    1,003.13x = 727,106.84
  5. Step 5: Solve for x
    x = 727,106.84/1,003.13
  6. Step 6: Final answer
    x = 724.84

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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.