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Finding the Fourth Proportional to 442.87, 661.72 and 389.41

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Solution

The fourth proportional to 442.87, 661.72 and 389.41 is: 581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.87 : 661.72 = 389.41 : x
  2. Step 2: Convert to fraction form
    442.87/661.72 = 389.41/x
  3. Step 3: Cross multiply
    442.87x = 661.72 × 389.41
  4. Step 4: Simplify right side
    442.87x = 257,678.49
  5. Step 5: Solve for x
    x = 257,678.49/442.87
  6. Step 6: Final answer
    x = 581.84

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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.