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Finding the Fourth Proportional to 1,208.40, 1,813.77 and 862.14

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Solution

The fourth proportional to 1,208.40, 1,813.77 and 862.14 is: 1,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.40 : 1,813.77 = 862.14 : x
  2. Step 2: Convert to fraction form
    1,208.40/1,813.77 = 862.14/x
  3. Step 3: Cross multiply
    1,208.40x = 1,813.77 × 862.14
  4. Step 4: Simplify right side
    1,208.40x = 1,563,723.67
  5. Step 5: Solve for x
    x = 1,563,723.67/1,208.40
  6. Step 6: Final answer
    x = 1,294.04

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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.