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Finding the Fourth Proportional to 1,627.58, 2,441.33 and 457.59

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Solution

The fourth proportional to 1,627.58, 2,441.33 and 457.59 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.58 : 2,441.33 = 457.59 : x
  2. Step 2: Convert to fraction form
    1,627.58/2,441.33 = 457.59/x
  3. Step 3: Cross multiply
    1,627.58x = 2,441.33 × 457.59
  4. Step 4: Simplify right side
    1,627.58x = 1,117,125.91
  5. Step 5: Solve for x
    x = 1,117,125.91/1,627.58
  6. Step 6: Final answer
    x = 686.37

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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.