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Finding the Fourth Proportional to 646.14, 886.94 and 587.82

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Solution

The fourth proportional to 646.14, 886.94 and 587.82 is: 806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.14 : 886.94 = 587.82 : x
  2. Step 2: Convert to fraction form
    646.14/886.94 = 587.82/x
  3. Step 3: Cross multiply
    646.14x = 886.94 × 587.82
  4. Step 4: Simplify right side
    646.14x = 521,358.13
  5. Step 5: Solve for x
    x = 521,358.13/646.14
  6. Step 6: Final answer
    x = 806.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.