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Finding the Fourth Proportional to 439.77, 662.65 and 364.42

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Solution

The fourth proportional to 439.77, 662.65 and 364.42 is: 549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.77 : 662.65 = 364.42 : x
  2. Step 2: Convert to fraction form
    439.77/662.65 = 364.42/x
  3. Step 3: Cross multiply
    439.77x = 662.65 × 364.42
  4. Step 4: Simplify right side
    439.77x = 241,482.91
  5. Step 5: Solve for x
    x = 241,482.91/439.77
  6. Step 6: Final answer
    x = 549.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.