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Finding the Fourth Proportional to 1,199.96, 1,656.60 and 807.68

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Solution

The fourth proportional to 1,199.96, 1,656.60 and 807.68 is: 1,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.96 : 1,656.60 = 807.68 : x
  2. Step 2: Convert to fraction form
    1,199.96/1,656.60 = 807.68/x
  3. Step 3: Cross multiply
    1,199.96x = 1,656.60 × 807.68
  4. Step 4: Simplify right side
    1,199.96x = 1,338,002.69
  5. Step 5: Solve for x
    x = 1,338,002.69/1,199.96
  6. Step 6: Final answer
    x = 1,115.04

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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.