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Finding the Fourth Proportional to 2,390.43, 3,585.81 and 635.41

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Solution

The fourth proportional to 2,390.43, 3,585.81 and 635.41 is: 953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.43 : 3,585.81 = 635.41 : x
  2. Step 2: Convert to fraction form
    2,390.43/3,585.81 = 635.41/x
  3. Step 3: Cross multiply
    2,390.43x = 3,585.81 × 635.41
  4. Step 4: Simplify right side
    2,390.43x = 2,278,459.53
  5. Step 5: Solve for x
    x = 2,278,459.53/2,390.43
  6. Step 6: Final answer
    x = 953.16

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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.