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Finding the Fourth Proportional to 457.64, 685.32 and 264.68

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Solution

The fourth proportional to 457.64, 685.32 and 264.68 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 685.32 = 264.68 : x
  2. Step 2: Convert to fraction form
    457.64/685.32 = 264.68/x
  3. Step 3: Cross multiply
    457.64x = 685.32 × 264.68
  4. Step 4: Simplify right side
    457.64x = 181,390.50
  5. Step 5: Solve for x
    x = 181,390.50/457.64
  6. Step 6: Final answer
    x = 396.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.