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Finding the Fourth Proportional to 1,627.55, 2,441.14 and 473.30

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Solution

The fourth proportional to 1,627.55, 2,441.14 and 473.30 is: 709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.55 : 2,441.14 = 473.30 : x
  2. Step 2: Convert to fraction form
    1,627.55/2,441.14 = 473.30/x
  3. Step 3: Cross multiply
    1,627.55x = 2,441.14 × 473.30
  4. Step 4: Simplify right side
    1,627.55x = 1,155,391.56
  5. Step 5: Solve for x
    x = 1,155,391.56/1,627.55
  6. Step 6: Final answer
    x = 709.90

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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.