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Finding the Fourth Proportional to 805.60, 1,200.08 and 786.40

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Solution

The fourth proportional to 805.60, 1,200.08 and 786.40 is: 1,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.60 : 1,200.08 = 786.40 : x
  2. Step 2: Convert to fraction form
    805.60/1,200.08 = 786.40/x
  3. Step 3: Cross multiply
    805.60x = 1,200.08 × 786.40
  4. Step 4: Simplify right side
    805.60x = 943,742.91
  5. Step 5: Solve for x
    x = 943,742.91/805.60
  6. Step 6: Final answer
    x = 1,171.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.