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Finding the Fourth Proportional to 414.21, 618.47 and 403.28

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Solution

The fourth proportional to 414.21, 618.47 and 403.28 is: 602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.21 : 618.47 = 403.28 : x
  2. Step 2: Convert to fraction form
    414.21/618.47 = 403.28/x
  3. Step 3: Cross multiply
    414.21x = 618.47 × 403.28
  4. Step 4: Simplify right side
    414.21x = 249,411.47
  5. Step 5: Solve for x
    x = 249,411.47/414.21
  6. Step 6: Final answer
    x = 602.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.