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Finding the Fourth Proportional to 461, 687.43 and 427.52

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Solution

The fourth proportional to 461, 687.43 and 427.52 is: 637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 687.43 = 427.52 : x
  2. Step 2: Convert to fraction form
    461/687.43 = 427.52/x
  3. Step 3: Cross multiply
    461x = 687.43 × 427.52
  4. Step 4: Simplify right side
    461x = 293,890.07
  5. Step 5: Solve for x
    x = 293,890.07/461
  6. Step 6: Final answer
    x = 637.51

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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.