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Finding the Fourth Proportional to 457.15, 684.84 and 302.62

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Solution

The fourth proportional to 457.15, 684.84 and 302.62 is: 453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.15 : 684.84 = 302.62 : x
  2. Step 2: Convert to fraction form
    457.15/684.84 = 302.62/x
  3. Step 3: Cross multiply
    457.15x = 684.84 × 302.62
  4. Step 4: Simplify right side
    457.15x = 207,243.43
  5. Step 5: Solve for x
    x = 207,243.43/457.15
  6. Step 6: Final answer
    x = 453.34

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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.