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Finding the Fourth Proportional to 460.08, 684.49 and 442.26

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Solution

The fourth proportional to 460.08, 684.49 and 442.26 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 684.49 = 442.26 : x
  2. Step 2: Convert to fraction form
    460.08/684.49 = 442.26/x
  3. Step 3: Cross multiply
    460.08x = 684.49 × 442.26
  4. Step 4: Simplify right side
    460.08x = 302,716.91
  5. Step 5: Solve for x
    x = 302,716.91/460.08
  6. Step 6: Final answer
    x = 657.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.