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Finding the Fourth Proportional to 455.82, 679.87 and 431.52

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Solution

The fourth proportional to 455.82, 679.87 and 431.52 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.82 : 679.87 = 431.52 : x
  2. Step 2: Convert to fraction form
    455.82/679.87 = 431.52/x
  3. Step 3: Cross multiply
    455.82x = 679.87 × 431.52
  4. Step 4: Simplify right side
    455.82x = 293,377.50
  5. Step 5: Solve for x
    x = 293,377.50/455.82
  6. Step 6: Final answer
    x = 643.63

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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.