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Finding the Fourth Proportional to 491.14, 677.73 and 428.95

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Solution

The fourth proportional to 491.14, 677.73 and 428.95 is: 591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.14 : 677.73 = 428.95 : x
  2. Step 2: Convert to fraction form
    491.14/677.73 = 428.95/x
  3. Step 3: Cross multiply
    491.14x = 677.73 × 428.95
  4. Step 4: Simplify right side
    491.14x = 290,712.28
  5. Step 5: Solve for x
    x = 290,712.28/491.14
  6. Step 6: Final answer
    x = 591.91

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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.