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Finding the Fourth Proportional to 578.58, 870.03 and 487.86

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Solution

The fourth proportional to 578.58, 870.03 and 487.86 is: 733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.58 : 870.03 = 487.86 : x
  2. Step 2: Convert to fraction form
    578.58/870.03 = 487.86/x
  3. Step 3: Cross multiply
    578.58x = 870.03 × 487.86
  4. Step 4: Simplify right side
    578.58x = 424,452.84
  5. Step 5: Solve for x
    x = 424,452.84/578.58
  6. Step 6: Final answer
    x = 733.61

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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.