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Finding the Fourth Proportional to 1,642.81, 2,464.21 and 410.21

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Solution

The fourth proportional to 1,642.81, 2,464.21 and 410.21 is: 615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.81 : 2,464.21 = 410.21 : x
  2. Step 2: Convert to fraction form
    1,642.81/2,464.21 = 410.21/x
  3. Step 3: Cross multiply
    1,642.81x = 2,464.21 × 410.21
  4. Step 4: Simplify right side
    1,642.81x = 1,010,853.72
  5. Step 5: Solve for x
    x = 1,010,853.72/1,642.81
  6. Step 6: Final answer
    x = 615.32

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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.