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Finding the Fourth Proportional to 578.61, 868.42 and 304.90

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Solution

The fourth proportional to 578.61, 868.42 and 304.90 is: 457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.61 : 868.42 = 304.90 : x
  2. Step 2: Convert to fraction form
    578.61/868.42 = 304.90/x
  3. Step 3: Cross multiply
    578.61x = 868.42 × 304.90
  4. Step 4: Simplify right side
    578.61x = 264,779.47
  5. Step 5: Solve for x
    x = 264,779.47/578.61
  6. Step 6: Final answer
    x = 457.61

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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.