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Finding the Fourth Proportional to 457.60, 640.64 and 457.60

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Solution

The fourth proportional to 457.60, 640.64 and 457.60 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.60 : 640.64 = 457.60 : x
  2. Step 2: Convert to fraction form
    457.60/640.64 = 457.60/x
  3. Step 3: Cross multiply
    457.60x = 640.64 × 457.60
  4. Step 4: Simplify right side
    457.60x = 293,156.86
  5. Step 5: Solve for x
    x = 293,156.86/457.60
  6. Step 6: Final answer
    x = 640.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.