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Finding the Fourth Proportional to 1,237.27, 1,706.07 and 883.03

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Solution

The fourth proportional to 1,237.27, 1,706.07 and 883.03 is: 1,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.27 : 1,706.07 = 883.03 : x
  2. Step 2: Convert to fraction form
    1,237.27/1,706.07 = 883.03/x
  3. Step 3: Cross multiply
    1,237.27x = 1,706.07 × 883.03
  4. Step 4: Simplify right side
    1,237.27x = 1,506,510.99
  5. Step 5: Solve for x
    x = 1,506,510.99/1,237.27
  6. Step 6: Final answer
    x = 1,217.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.