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Finding the Fourth Proportional to 1,209.97, 1,814.37 and 479.35

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Solution

The fourth proportional to 1,209.97, 1,814.37 and 479.35 is: 718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.97 : 1,814.37 = 479.35 : x
  2. Step 2: Convert to fraction form
    1,209.97/1,814.37 = 479.35/x
  3. Step 3: Cross multiply
    1,209.97x = 1,814.37 × 479.35
  4. Step 4: Simplify right side
    1,209.97x = 869,718.26
  5. Step 5: Solve for x
    x = 869,718.26/1,209.97
  6. Step 6: Final answer
    x = 718.79

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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.