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Finding the Fourth Proportional to 587.70, 811.13 and 447.59

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Solution

The fourth proportional to 587.70, 811.13 and 447.59 is: 617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 811.13 = 447.59 : x
  2. Step 2: Convert to fraction form
    587.70/811.13 = 447.59/x
  3. Step 3: Cross multiply
    587.70x = 811.13 × 447.59
  4. Step 4: Simplify right side
    587.70x = 363,053.47
  5. Step 5: Solve for x
    x = 363,053.47/587.70
  6. Step 6: Final answer
    x = 617.75

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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.