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Finding the Fourth Proportional to 743.80, 1,114.90 and 281.40

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Solution

The fourth proportional to 743.80, 1,114.90 and 281.40 is: 421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.80 : 1,114.90 = 281.40 : x
  2. Step 2: Convert to fraction form
    743.80/1,114.90 = 281.40/x
  3. Step 3: Cross multiply
    743.80x = 1,114.90 × 281.40
  4. Step 4: Simplify right side
    743.80x = 313,732.86
  5. Step 5: Solve for x
    x = 313,732.86/743.80
  6. Step 6: Final answer
    x = 421.80

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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.