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Finding the Fourth Proportional to 491.63, 677.82 and 402.78

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Solution

The fourth proportional to 491.63, 677.82 and 402.78 is: 555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.63 : 677.82 = 402.78 : x
  2. Step 2: Convert to fraction form
    491.63/677.82 = 402.78/x
  3. Step 3: Cross multiply
    491.63x = 677.82 × 402.78
  4. Step 4: Simplify right side
    491.63x = 273,010.33
  5. Step 5: Solve for x
    x = 273,010.33/491.63
  6. Step 6: Final answer
    x = 555.32

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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.