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Finding the Fourth Proportional to 461.37, 687.66 and 435.43

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Solution

The fourth proportional to 461.37, 687.66 and 435.43 is: 648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.37 : 687.66 = 435.43 : x
  2. Step 2: Convert to fraction form
    461.37/687.66 = 435.43/x
  3. Step 3: Cross multiply
    461.37x = 687.66 × 435.43
  4. Step 4: Simplify right side
    461.37x = 299,422.18
  5. Step 5: Solve for x
    x = 299,422.18/461.37
  6. Step 6: Final answer
    x = 648.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.