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Finding the Fourth Proportional to 1,904.24, 2,855.48 and 808.02

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Solution

The fourth proportional to 1,904.24, 2,855.48 and 808.02 is: 1,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.24 : 2,855.48 = 808.02 : x
  2. Step 2: Convert to fraction form
    1,904.24/2,855.48 = 808.02/x
  3. Step 3: Cross multiply
    1,904.24x = 2,855.48 × 808.02
  4. Step 4: Simplify right side
    1,904.24x = 2,307,284.95
  5. Step 5: Solve for x
    x = 2,307,284.95/1,904.24
  6. Step 6: Final answer
    x = 1,211.66

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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.