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Finding the Fourth Proportional to 788.12, 1,179.40 and 686.52

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Solution

The fourth proportional to 788.12, 1,179.40 and 686.52 is: 1,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.12 : 1,179.40 = 686.52 : x
  2. Step 2: Convert to fraction form
    788.12/1,179.40 = 686.52/x
  3. Step 3: Cross multiply
    788.12x = 1,179.40 × 686.52
  4. Step 4: Simplify right side
    788.12x = 809,681.69
  5. Step 5: Solve for x
    x = 809,681.69/788.12
  6. Step 6: Final answer
    x = 1,027.36

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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.