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Finding the Fourth Proportional to 762.82, 1,052.61 and 431.23

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Solution

The fourth proportional to 762.82, 1,052.61 and 431.23 is: 595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.82 : 1,052.61 = 431.23 : x
  2. Step 2: Convert to fraction form
    762.82/1,052.61 = 431.23/x
  3. Step 3: Cross multiply
    762.82x = 1,052.61 × 431.23
  4. Step 4: Simplify right side
    762.82x = 453,917.01
  5. Step 5: Solve for x
    x = 453,917.01/762.82
  6. Step 6: Final answer
    x = 595.05

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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.