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Finding the Fourth Proportional to 674.33, 1,012.10 and 431.33

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Solution

The fourth proportional to 674.33, 1,012.10 and 431.33 is: 647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 1,012.10 = 431.33 : x
  2. Step 2: Convert to fraction form
    674.33/1,012.10 = 431.33/x
  3. Step 3: Cross multiply
    674.33x = 1,012.10 × 431.33
  4. Step 4: Simplify right side
    674.33x = 436,541.88
  5. Step 5: Solve for x
    x = 436,541.88/674.33
  6. Step 6: Final answer
    x = 647.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.