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Finding the Fourth Proportional to 1,003.23, 1,503.93 and 387.40

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Solution

The fourth proportional to 1,003.23, 1,503.93 and 387.40 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.23 : 1,503.93 = 387.40 : x
  2. Step 2: Convert to fraction form
    1,003.23/1,503.93 = 387.40/x
  3. Step 3: Cross multiply
    1,003.23x = 1,503.93 × 387.40
  4. Step 4: Simplify right side
    1,003.23x = 582,616.24
  5. Step 5: Solve for x
    x = 582,616.24/1,003.23
  6. Step 6: Final answer
    x = 580.74

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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.