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Finding the Fourth Proportional to 654.15, 903.53 and 489.09

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Solution

The fourth proportional to 654.15, 903.53 and 489.09 is: 675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.15 : 903.53 = 489.09 : x
  2. Step 2: Convert to fraction form
    654.15/903.53 = 489.09/x
  3. Step 3: Cross multiply
    654.15x = 903.53 × 489.09
  4. Step 4: Simplify right side
    654.15x = 441,908.43
  5. Step 5: Solve for x
    x = 441,908.43/654.15
  6. Step 6: Final answer
    x = 675.55

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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.