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Finding the Fourth Proportional to 1,642.90, 2,464.23 and 532.30

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Solution

The fourth proportional to 1,642.90, 2,464.23 and 532.30 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.90 : 2,464.23 = 532.30 : x
  2. Step 2: Convert to fraction form
    1,642.90/2,464.23 = 532.30/x
  3. Step 3: Cross multiply
    1,642.90x = 2,464.23 × 532.30
  4. Step 4: Simplify right side
    1,642.90x = 1,311,709.63
  5. Step 5: Solve for x
    x = 1,311,709.63/1,642.90
  6. Step 6: Final answer
    x = 798.41

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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.