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Finding the Fourth Proportional to 448.14, 618.48 and 411.24

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Solution

The fourth proportional to 448.14, 618.48 and 411.24 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 618.48 = 411.24 : x
  2. Step 2: Convert to fraction form
    448.14/618.48 = 411.24/x
  3. Step 3: Cross multiply
    448.14x = 618.48 × 411.24
  4. Step 4: Simplify right side
    448.14x = 254,343.72
  5. Step 5: Solve for x
    x = 254,343.72/448.14
  6. Step 6: Final answer
    x = 567.55

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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.