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Finding the Fourth Proportional to 1,605.43, 2,407.54 and 631

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Solution

The fourth proportional to 1,605.43, 2,407.54 and 631 is: 946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.43 : 2,407.54 = 631 : x
  2. Step 2: Convert to fraction form
    1,605.43/2,407.54 = 631/x
  3. Step 3: Cross multiply
    1,605.43x = 2,407.54 × 631
  4. Step 4: Simplify right side
    1,605.43x = 1,519,157.74
  5. Step 5: Solve for x
    x = 1,519,157.74/1,605.43
  6. Step 6: Final answer
    x = 946.26

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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.