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Finding the Fourth Proportional to 1,209.66, 1,813.23 and 559.86

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Solution

The fourth proportional to 1,209.66, 1,813.23 and 559.86 is: 839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.66 : 1,813.23 = 559.86 : x
  2. Step 2: Convert to fraction form
    1,209.66/1,813.23 = 559.86/x
  3. Step 3: Cross multiply
    1,209.66x = 1,813.23 × 559.86
  4. Step 4: Simplify right side
    1,209.66x = 1,015,154.95
  5. Step 5: Solve for x
    x = 1,015,154.95/1,209.66
  6. Step 6: Final answer
    x = 839.21

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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.