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Finding the Fourth Proportional to 1,209.34, 1,668.90 and 743.50

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Solution

The fourth proportional to 1,209.34, 1,668.90 and 743.50 is: 1,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.34 : 1,668.90 = 743.50 : x
  2. Step 2: Convert to fraction form
    1,209.34/1,668.90 = 743.50/x
  3. Step 3: Cross multiply
    1,209.34x = 1,668.90 × 743.50
  4. Step 4: Simplify right side
    1,209.34x = 1,240,827.15
  5. Step 5: Solve for x
    x = 1,240,827.15/1,209.34
  6. Step 6: Final answer
    x = 1,026.04

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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.