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Finding the Fourth Proportional to 514.47, 769.40 and 457.05

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Solution

The fourth proportional to 514.47, 769.40 and 457.05 is: 683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.47 : 769.40 = 457.05 : x
  2. Step 2: Convert to fraction form
    514.47/769.40 = 457.05/x
  3. Step 3: Cross multiply
    514.47x = 769.40 × 457.05
  4. Step 4: Simplify right side
    514.47x = 351,654.27
  5. Step 5: Solve for x
    x = 351,654.27/514.47
  6. Step 6: Final answer
    x = 683.53

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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.