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Finding the Fourth Proportional to 445.77, 667.64 and 347.51

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Solution

The fourth proportional to 445.77, 667.64 and 347.51 is: 520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.77 : 667.64 = 347.51 : x
  2. Step 2: Convert to fraction form
    445.77/667.64 = 347.51/x
  3. Step 3: Cross multiply
    445.77x = 667.64 × 347.51
  4. Step 4: Simplify right side
    445.77x = 232,014.11
  5. Step 5: Solve for x
    x = 232,014.11/445.77
  6. Step 6: Final answer
    x = 520.48

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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.