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Finding the Fourth Proportional to 457.64, 684.96 and 415

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Solution

The fourth proportional to 457.64, 684.96 and 415 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.64 : 684.96 = 415 : x
  2. Step 2: Convert to fraction form
    457.64/684.96 = 415/x
  3. Step 3: Cross multiply
    457.64x = 684.96 × 415
  4. Step 4: Simplify right side
    457.64x = 284,258.40
  5. Step 5: Solve for x
    x = 284,258.40/457.64
  6. Step 6: Final answer
    x = 621.14

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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.