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Finding the Fourth Proportional to 540.16, 744.96 and 448

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Solution

The fourth proportional to 540.16, 744.96 and 448 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 744.96 = 448 : x
  2. Step 2: Convert to fraction form
    540.16/744.96 = 448/x
  3. Step 3: Cross multiply
    540.16x = 744.96 × 448
  4. Step 4: Simplify right side
    540.16x = 333,742.08
  5. Step 5: Solve for x
    x = 333,742.08/540.16
  6. Step 6: Final answer
    x = 617.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.