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Finding the Fourth Proportional to 578.46, 865.68 and 416.46

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Solution

The fourth proportional to 578.46, 865.68 and 416.46 is: 623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.46 : 865.68 = 416.46 : x
  2. Step 2: Convert to fraction form
    578.46/865.68 = 416.46/x
  3. Step 3: Cross multiply
    578.46x = 865.68 × 416.46
  4. Step 4: Simplify right side
    578.46x = 360,521.09
  5. Step 5: Solve for x
    x = 360,521.09/578.46
  6. Step 6: Final answer
    x = 623.24

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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.