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Finding the Fourth Proportional to 1,002.87, 1,503.23 and 386.30

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Solution

The fourth proportional to 1,002.87, 1,503.23 and 386.30 is: 579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.87 : 1,503.23 = 386.30 : x
  2. Step 2: Convert to fraction form
    1,002.87/1,503.23 = 386.30/x
  3. Step 3: Cross multiply
    1,002.87x = 1,503.23 × 386.30
  4. Step 4: Simplify right side
    1,002.87x = 580,688.30
  5. Step 5: Solve for x
    x = 580,688.30/1,002.87
  6. Step 6: Final answer
    x = 579.03

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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.