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Finding the Fourth Proportional to 654.34, 902.72 and 479.38

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Solution

The fourth proportional to 654.34, 902.72 and 479.38 is: 661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.34 : 902.72 = 479.38 : x
  2. Step 2: Convert to fraction form
    654.34/902.72 = 479.38/x
  3. Step 3: Cross multiply
    654.34x = 902.72 × 479.38
  4. Step 4: Simplify right side
    654.34x = 432,745.91
  5. Step 5: Solve for x
    x = 432,745.91/654.34
  6. Step 6: Final answer
    x = 661.35

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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.