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Finding the Fourth Proportional to 1,632.08, 2,447.76 and 477.56

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Solution

The fourth proportional to 1,632.08, 2,447.76 and 477.56 is: 716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.08 : 2,447.76 = 477.56 : x
  2. Step 2: Convert to fraction form
    1,632.08/2,447.76 = 477.56/x
  3. Step 3: Cross multiply
    1,632.08x = 2,447.76 × 477.56
  4. Step 4: Simplify right side
    1,632.08x = 1,168,952.27
  5. Step 5: Solve for x
    x = 1,168,952.27/1,632.08
  6. Step 6: Final answer
    x = 716.23

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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.