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Finding the Fourth Proportional to 455.76, 679.86 and 427.82

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Solution

The fourth proportional to 455.76, 679.86 and 427.82 is: 638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.76 : 679.86 = 427.82 : x
  2. Step 2: Convert to fraction form
    455.76/679.86 = 427.82/x
  3. Step 3: Cross multiply
    455.76x = 679.86 × 427.82
  4. Step 4: Simplify right side
    455.76x = 290,854.31
  5. Step 5: Solve for x
    x = 290,854.31/455.76
  6. Step 6: Final answer
    x = 638.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.