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Finding the Fourth Proportional to 762.46, 1,145.83 and 454.37

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Solution

The fourth proportional to 762.46, 1,145.83 and 454.37 is: 682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.46 : 1,145.83 = 454.37 : x
  2. Step 2: Convert to fraction form
    762.46/1,145.83 = 454.37/x
  3. Step 3: Cross multiply
    762.46x = 1,145.83 × 454.37
  4. Step 4: Simplify right side
    762.46x = 520,630.78
  5. Step 5: Solve for x
    x = 520,630.78/762.46
  6. Step 6: Final answer
    x = 682.83

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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.