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Finding the Fourth Proportional to 677.14, 934.47 and 456.14

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Solution

The fourth proportional to 677.14, 934.47 and 456.14 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.14 : 934.47 = 456.14 : x
  2. Step 2: Convert to fraction form
    677.14/934.47 = 456.14/x
  3. Step 3: Cross multiply
    677.14x = 934.47 × 456.14
  4. Step 4: Simplify right side
    677.14x = 426,251.48
  5. Step 5: Solve for x
    x = 426,251.48/677.14
  6. Step 6: Final answer
    x = 629.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.