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Finding the Fourth Proportional to 762.46, 1,051.36 and 496.56

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Solution

The fourth proportional to 762.46, 1,051.36 and 496.56 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.46 : 1,051.36 = 496.56 : x
  2. Step 2: Convert to fraction form
    762.46/1,051.36 = 496.56/x
  3. Step 3: Cross multiply
    762.46x = 1,051.36 × 496.56
  4. Step 4: Simplify right side
    762.46x = 522,063.32
  5. Step 5: Solve for x
    x = 522,063.32/762.46
  6. Step 6: Final answer
    x = 684.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.