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Finding the Fourth Proportional to 1,206.27, 1,808.27 and 589.65

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Solution

The fourth proportional to 1,206.27, 1,808.27 and 589.65 is: 883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.27 : 1,808.27 = 589.65 : x
  2. Step 2: Convert to fraction form
    1,206.27/1,808.27 = 589.65/x
  3. Step 3: Cross multiply
    1,206.27x = 1,808.27 × 589.65
  4. Step 4: Simplify right side
    1,206.27x = 1,066,243.46
  5. Step 5: Solve for x
    x = 1,066,243.46/1,206.27
  6. Step 6: Final answer
    x = 883.92

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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.