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Finding the Fourth Proportional to 435.66, 656.57 and 431.88

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Solution

The fourth proportional to 435.66, 656.57 and 431.88 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.66 : 656.57 = 431.88 : x
  2. Step 2: Convert to fraction form
    435.66/656.57 = 431.88/x
  3. Step 3: Cross multiply
    435.66x = 656.57 × 431.88
  4. Step 4: Simplify right side
    435.66x = 283,557.29
  5. Step 5: Solve for x
    x = 283,557.29/435.66
  6. Step 6: Final answer
    x = 650.87

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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.