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Finding the Fourth Proportional to 2,656.64, 3,984.96 and 807.77

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Solution

The fourth proportional to 2,656.64, 3,984.96 and 807.77 is: 1,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.64 : 3,984.96 = 807.77 : x
  2. Step 2: Convert to fraction form
    2,656.64/3,984.96 = 807.77/x
  3. Step 3: Cross multiply
    2,656.64x = 3,984.96 × 807.77
  4. Step 4: Simplify right side
    2,656.64x = 3,218,911.21
  5. Step 5: Solve for x
    x = 3,218,911.21/2,656.64
  6. Step 6: Final answer
    x = 1,211.65

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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.