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Finding the Fourth Proportional to 762.46, 1,147.75 and 547.54

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Solution

The fourth proportional to 762.46, 1,147.75 and 547.54 is: 824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.46 : 1,147.75 = 547.54 : x
  2. Step 2: Convert to fraction form
    762.46/1,147.75 = 547.54/x
  3. Step 3: Cross multiply
    762.46x = 1,147.75 × 547.54
  4. Step 4: Simplify right side
    762.46x = 628,439.04
  5. Step 5: Solve for x
    x = 628,439.04/762.46
  6. Step 6: Final answer
    x = 824.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.