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Finding the Fourth Proportional to 1,909.80, 2,864.64 and 611.24

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Solution

The fourth proportional to 1,909.80, 2,864.64 and 611.24 is: 916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.80 : 2,864.64 = 611.24 : x
  2. Step 2: Convert to fraction form
    1,909.80/2,864.64 = 611.24/x
  3. Step 3: Cross multiply
    1,909.80x = 2,864.64 × 611.24
  4. Step 4: Simplify right side
    1,909.80x = 1,750,982.55
  5. Step 5: Solve for x
    x = 1,750,982.55/1,909.80
  6. Step 6: Final answer
    x = 916.84

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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.