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Finding the Fourth Proportional to 474.86, 713.64 and 442.04

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Solution

The fourth proportional to 474.86, 713.64 and 442.04 is: 664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.86 : 713.64 = 442.04 : x
  2. Step 2: Convert to fraction form
    474.86/713.64 = 442.04/x
  3. Step 3: Cross multiply
    474.86x = 713.64 × 442.04
  4. Step 4: Simplify right side
    474.86x = 315,457.43
  5. Step 5: Solve for x
    x = 315,457.43/474.86
  6. Step 6: Final answer
    x = 664.32

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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.