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Finding the Fourth Proportional to 2,885.90, 4,328.84 and 805.90

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Solution

The fourth proportional to 2,885.90, 4,328.84 and 805.90 is: 1,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.90 : 4,328.84 = 805.90 : x
  2. Step 2: Convert to fraction form
    2,885.90/4,328.84 = 805.90/x
  3. Step 3: Cross multiply
    2,885.90x = 4,328.84 × 805.90
  4. Step 4: Simplify right side
    2,885.90x = 3,488,612.16
  5. Step 5: Solve for x
    x = 3,488,612.16/2,885.90
  6. Step 6: Final answer
    x = 1,208.85

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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.