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Finding the Fourth Proportional to 587.07, 878.77 and 457.44

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Solution

The fourth proportional to 587.07, 878.77 and 457.44 is: 684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.07 : 878.77 = 457.44 : x
  2. Step 2: Convert to fraction form
    587.07/878.77 = 457.44/x
  3. Step 3: Cross multiply
    587.07x = 878.77 × 457.44
  4. Step 4: Simplify right side
    587.07x = 401,984.55
  5. Step 5: Solve for x
    x = 401,984.55/587.07
  6. Step 6: Final answer
    x = 684.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.