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Finding the Fourth Proportional to 587.68, 881.49 and 404.51

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Solution

The fourth proportional to 587.68, 881.49 and 404.51 is: 606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.68 : 881.49 = 404.51 : x
  2. Step 2: Convert to fraction form
    587.68/881.49 = 404.51/x
  3. Step 3: Cross multiply
    587.68x = 881.49 × 404.51
  4. Step 4: Simplify right side
    587.68x = 356,571.52
  5. Step 5: Solve for x
    x = 356,571.52/587.68
  6. Step 6: Final answer
    x = 606.74

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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.