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Finding the Fourth Proportional to 1,605.42, 2,405.97 and 631.26

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Solution

The fourth proportional to 1,605.42, 2,405.97 and 631.26 is: 946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.42 : 2,405.97 = 631.26 : x
  2. Step 2: Convert to fraction form
    1,605.42/2,405.97 = 631.26/x
  3. Step 3: Cross multiply
    1,605.42x = 2,405.97 × 631.26
  4. Step 4: Simplify right side
    1,605.42x = 1,518,792.62
  5. Step 5: Solve for x
    x = 1,518,792.62/1,605.42
  6. Step 6: Final answer
    x = 946.04

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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.