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Finding the Fourth Proportional to 587.72, 811.62 and 448.80

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Solution

The fourth proportional to 587.72, 811.62 and 448.80 is: 619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.72 : 811.62 = 448.80 : x
  2. Step 2: Convert to fraction form
    587.72/811.62 = 448.80/x
  3. Step 3: Cross multiply
    587.72x = 811.62 × 448.80
  4. Step 4: Simplify right side
    587.72x = 364,255.06
  5. Step 5: Solve for x
    x = 364,255.06/587.72
  6. Step 6: Final answer
    x = 619.78

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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.