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Finding the Fourth Proportional to 442.25, 613.13 and 417.65

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Solution

The fourth proportional to 442.25, 613.13 and 417.65 is: 579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 613.13 = 417.65 : x
  2. Step 2: Convert to fraction form
    442.25/613.13 = 417.65/x
  3. Step 3: Cross multiply
    442.25x = 613.13 × 417.65
  4. Step 4: Simplify right side
    442.25x = 256,068.59
  5. Step 5: Solve for x
    x = 256,068.59/442.25
  6. Step 6: Final answer
    x = 579.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.