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Finding the Fourth Proportional to 466.65, 642.87 and 383.27

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Solution

The fourth proportional to 466.65, 642.87 and 383.27 is: 528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.65 : 642.87 = 383.27 : x
  2. Step 2: Convert to fraction form
    466.65/642.87 = 383.27/x
  3. Step 3: Cross multiply
    466.65x = 642.87 × 383.27
  4. Step 4: Simplify right side
    466.65x = 246,389.57
  5. Step 5: Solve for x
    x = 246,389.57/466.65
  6. Step 6: Final answer
    x = 528.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.