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Finding the Fourth Proportional to 920.14, 1,380.50 and 457.98

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Solution

The fourth proportional to 920.14, 1,380.50 and 457.98 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.14 : 1,380.50 = 457.98 : x
  2. Step 2: Convert to fraction form
    920.14/1,380.50 = 457.98/x
  3. Step 3: Cross multiply
    920.14x = 1,380.50 × 457.98
  4. Step 4: Simplify right side
    920.14x = 632,241.39
  5. Step 5: Solve for x
    x = 632,241.39/920.14
  6. Step 6: Final answer
    x = 687.11

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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.