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Finding the Fourth Proportional to 532.08, 796.50 and 444.96

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Solution

The fourth proportional to 532.08, 796.50 and 444.96 is: 666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 796.50 = 444.96 : x
  2. Step 2: Convert to fraction form
    532.08/796.50 = 444.96/x
  3. Step 3: Cross multiply
    532.08x = 796.50 × 444.96
  4. Step 4: Simplify right side
    532.08x = 354,410.64
  5. Step 5: Solve for x
    x = 354,410.64/532.08
  6. Step 6: Final answer
    x = 666.09

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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.