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Finding the Fourth Proportional to 457.64, 631.58 and 416.33

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Solution

The fourth proportional to 457.64, 631.58 and 416.33 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 631.58 = 416.33 : x
  2. Step 2: Convert to fraction form
    457.64/631.58 = 416.33/x
  3. Step 3: Cross multiply
    457.64x = 631.58 × 416.33
  4. Step 4: Simplify right side
    457.64x = 262,945.70
  5. Step 5: Solve for x
    x = 262,945.70/457.64
  6. Step 6: Final answer
    x = 574.57

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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.