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Finding the Fourth Proportional to 654.52, 902.46 and 479.80

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Solution

The fourth proportional to 654.52, 902.46 and 479.80 is: 661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.52 : 902.46 = 479.80 : x
  2. Step 2: Convert to fraction form
    654.52/902.46 = 479.80/x
  3. Step 3: Cross multiply
    654.52x = 902.46 × 479.80
  4. Step 4: Simplify right side
    654.52x = 433,000.31
  5. Step 5: Solve for x
    x = 433,000.31/654.52
  6. Step 6: Final answer
    x = 661.55

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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.