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Finding the Fourth Proportional to 1,752.31, 2,628.47 and 453.78

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Solution

The fourth proportional to 1,752.31, 2,628.47 and 453.78 is: 680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.31 : 2,628.47 = 453.78 : x
  2. Step 2: Convert to fraction form
    1,752.31/2,628.47 = 453.78/x
  3. Step 3: Cross multiply
    1,752.31x = 2,628.47 × 453.78
  4. Step 4: Simplify right side
    1,752.31x = 1,192,731.71
  5. Step 5: Solve for x
    x = 1,192,731.71/1,752.31
  6. Step 6: Final answer
    x = 680.66

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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.