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Finding the Fourth Proportional to 762.15, 1,148.43 and 628.20

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Solution

The fourth proportional to 762.15, 1,148.43 and 628.20 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.15 : 1,148.43 = 628.20 : x
  2. Step 2: Convert to fraction form
    762.15/1,148.43 = 628.20/x
  3. Step 3: Cross multiply
    762.15x = 1,148.43 × 628.20
  4. Step 4: Simplify right side
    762.15x = 721,443.73
  5. Step 5: Solve for x
    x = 721,443.73/762.15
  6. Step 6: Final answer
    x = 946.59

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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.