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Finding the Fourth Proportional to 1,628.50, 2,442.69 and 458.51

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Solution

The fourth proportional to 1,628.50, 2,442.69 and 458.51 is: 687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.50 : 2,442.69 = 458.51 : x
  2. Step 2: Convert to fraction form
    1,628.50/2,442.69 = 458.51/x
  3. Step 3: Cross multiply
    1,628.50x = 2,442.69 × 458.51
  4. Step 4: Simplify right side
    1,628.50x = 1,119,997.79
  5. Step 5: Solve for x
    x = 1,119,997.79/1,628.50
  6. Step 6: Final answer
    x = 687.75

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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.