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Finding the Fourth Proportional to 455.14, 685.78 and 375.76

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Solution

The fourth proportional to 455.14, 685.78 and 375.76 is: 566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.14 : 685.78 = 375.76 : x
  2. Step 2: Convert to fraction form
    455.14/685.78 = 375.76/x
  3. Step 3: Cross multiply
    455.14x = 685.78 × 375.76
  4. Step 4: Simplify right side
    455.14x = 257,688.69
  5. Step 5: Solve for x
    x = 257,688.69/455.14
  6. Step 6: Final answer
    x = 566.17

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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.