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Finding the Fourth Proportional to 454.52, 684.71 and 431.88

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Solution

The fourth proportional to 454.52, 684.71 and 431.88 is: 650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.52 : 684.71 = 431.88 : x
  2. Step 2: Convert to fraction form
    454.52/684.71 = 431.88/x
  3. Step 3: Cross multiply
    454.52x = 684.71 × 431.88
  4. Step 4: Simplify right side
    454.52x = 295,712.55
  5. Step 5: Solve for x
    x = 295,712.55/454.52
  6. Step 6: Final answer
    x = 650.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.