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Finding the Fourth Proportional to 674.60, 1,011.90 and 455.90

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Solution

The fourth proportional to 674.60, 1,011.90 and 455.90 is: 683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.60 : 1,011.90 = 455.90 : x
  2. Step 2: Convert to fraction form
    674.60/1,011.90 = 455.90/x
  3. Step 3: Cross multiply
    674.60x = 1,011.90 × 455.90
  4. Step 4: Simplify right side
    674.60x = 461,325.21
  5. Step 5: Solve for x
    x = 461,325.21/674.60
  6. Step 6: Final answer
    x = 683.85

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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.