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Finding the Fourth Proportional to 456.14, 687.29 and 376.76

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Solution

The fourth proportional to 456.14, 687.29 and 376.76 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.14 : 687.29 = 376.76 : x
  2. Step 2: Convert to fraction form
    456.14/687.29 = 376.76/x
  3. Step 3: Cross multiply
    456.14x = 687.29 × 376.76
  4. Step 4: Simplify right side
    456.14x = 258,943.38
  5. Step 5: Solve for x
    x = 258,943.38/456.14
  6. Step 6: Final answer
    x = 567.68

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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.