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Finding the Fourth Proportional to 1,002.75, 1,384.20 and 862.30

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Solution

The fourth proportional to 1,002.75, 1,384.20 and 862.30 is: 1,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.75 : 1,384.20 = 862.30 : x
  2. Step 2: Convert to fraction form
    1,002.75/1,384.20 = 862.30/x
  3. Step 3: Cross multiply
    1,002.75x = 1,384.20 × 862.30
  4. Step 4: Simplify right side
    1,002.75x = 1,193,595.66
  5. Step 5: Solve for x
    x = 1,193,595.66/1,002.75
  6. Step 6: Final answer
    x = 1,190.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.