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Finding the Fourth Proportional to 762.94, 1,149.01 and 648.19

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Solution

The fourth proportional to 762.94, 1,149.01 and 648.19 is: 976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.94 : 1,149.01 = 648.19 : x
  2. Step 2: Convert to fraction form
    762.94/1,149.01 = 648.19/x
  3. Step 3: Cross multiply
    762.94x = 1,149.01 × 648.19
  4. Step 4: Simplify right side
    762.94x = 744,776.79
  5. Step 5: Solve for x
    x = 744,776.79/762.94
  6. Step 6: Final answer
    x = 976.19

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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.