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Finding the Fourth Proportional to 416.32, 627.36 and 407.68

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Solution

The fourth proportional to 416.32, 627.36 and 407.68 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.32 : 627.36 = 407.68 : x
  2. Step 2: Convert to fraction form
    416.32/627.36 = 407.68/x
  3. Step 3: Cross multiply
    416.32x = 627.36 × 407.68
  4. Step 4: Simplify right side
    416.32x = 255,762.12
  5. Step 5: Solve for x
    x = 255,762.12/416.32
  6. Step 6: Final answer
    x = 614.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.