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Finding the Fourth Proportional to 466.62, 642.87 and 440.19

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Solution

The fourth proportional to 466.62, 642.87 and 440.19 is: 606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.62 : 642.87 = 440.19 : x
  2. Step 2: Convert to fraction form
    466.62/642.87 = 440.19/x
  3. Step 3: Cross multiply
    466.62x = 642.87 × 440.19
  4. Step 4: Simplify right side
    466.62x = 282,984.95
  5. Step 5: Solve for x
    x = 282,984.95/466.62
  6. Step 6: Final answer
    x = 606.46

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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.