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Finding the Fourth Proportional to 1,904.24, 2,856.80 and 808.64

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Solution

The fourth proportional to 1,904.24, 2,856.80 and 808.64 is: 1,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.24 : 2,856.80 = 808.64 : x
  2. Step 2: Convert to fraction form
    1,904.24/2,856.80 = 808.64/x
  3. Step 3: Cross multiply
    1,904.24x = 2,856.80 × 808.64
  4. Step 4: Simplify right side
    1,904.24x = 2,310,122.75
  5. Step 5: Solve for x
    x = 2,310,122.75/1,904.24
  6. Step 6: Final answer
    x = 1,213.15

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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.