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Finding the Fourth Proportional to 1,453.71, 2,180.35 and 479.69

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Solution

The fourth proportional to 1,453.71, 2,180.35 and 479.69 is: 719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.71 : 2,180.35 = 479.69 : x
  2. Step 2: Convert to fraction form
    1,453.71/2,180.35 = 479.69/x
  3. Step 3: Cross multiply
    1,453.71x = 2,180.35 × 479.69
  4. Step 4: Simplify right side
    1,453.71x = 1,045,892.09
  5. Step 5: Solve for x
    x = 1,045,892.09/1,453.71
  6. Step 6: Final answer
    x = 719.46

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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.