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Finding the Fourth Proportional to 1,223.72, 1,685.88 and 1,001.37

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Solution

The fourth proportional to 1,223.72, 1,685.88 and 1,001.37 is: 1,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.72 : 1,685.88 = 1,001.37 : x
  2. Step 2: Convert to fraction form
    1,223.72/1,685.88 = 1,001.37/x
  3. Step 3: Cross multiply
    1,223.72x = 1,685.88 × 1,001.37
  4. Step 4: Simplify right side
    1,223.72x = 1,688,184.65
  5. Step 5: Solve for x
    x = 1,688,184.65/1,223.72
  6. Step 6: Final answer
    x = 1,379.56

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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.