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Finding the Fourth Proportional to 654.34, 902.28 and 506.62

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Solution

The fourth proportional to 654.34, 902.28 and 506.62 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.34 : 902.28 = 506.62 : x
  2. Step 2: Convert to fraction form
    654.34/902.28 = 506.62/x
  3. Step 3: Cross multiply
    654.34x = 902.28 × 506.62
  4. Step 4: Simplify right side
    654.34x = 457,113.09
  5. Step 5: Solve for x
    x = 457,113.09/654.34
  6. Step 6: Final answer
    x = 698.59

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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.