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Finding the Fourth Proportional to 790.81, 1,091.35 and 459.31

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Solution

The fourth proportional to 790.81, 1,091.35 and 459.31 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.81 : 1,091.35 = 459.31 : x
  2. Step 2: Convert to fraction form
    790.81/1,091.35 = 459.31/x
  3. Step 3: Cross multiply
    790.81x = 1,091.35 × 459.31
  4. Step 4: Simplify right side
    790.81x = 501,267.97
  5. Step 5: Solve for x
    x = 501,267.97/790.81
  6. Step 6: Final answer
    x = 633.87

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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.