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Finding the Fourth Proportional to 1,668, 2,502.12 and 642

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Solution

The fourth proportional to 1,668, 2,502.12 and 642 is: 963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668 : 2,502.12 = 642 : x
  2. Step 2: Convert to fraction form
    1,668/2,502.12 = 642/x
  3. Step 3: Cross multiply
    1,668x = 2,502.12 × 642
  4. Step 4: Simplify right side
    1,668x = 1,606,361.04
  5. Step 5: Solve for x
    x = 1,606,361.04/1,668
  6. Step 6: Final answer
    x = 963.05

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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.