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Finding the Fourth Proportional to 1,209.74, 1,812.78 and 559.71

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Solution

The fourth proportional to 1,209.74, 1,812.78 and 559.71 is: 838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.74 : 1,812.78 = 559.71 : x
  2. Step 2: Convert to fraction form
    1,209.74/1,812.78 = 559.71/x
  3. Step 3: Cross multiply
    1,209.74x = 1,812.78 × 559.71
  4. Step 4: Simplify right side
    1,209.74x = 1,014,631.09
  5. Step 5: Solve for x
    x = 1,014,631.09/1,209.74
  6. Step 6: Final answer
    x = 838.72

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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.