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Finding the Fourth Proportional to 654.86, 903.73 and 489.62

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Solution

The fourth proportional to 654.86, 903.73 and 489.62 is: 675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.86 : 903.73 = 489.62 : x
  2. Step 2: Convert to fraction form
    654.86/903.73 = 489.62/x
  3. Step 3: Cross multiply
    654.86x = 903.73 × 489.62
  4. Step 4: Simplify right side
    654.86x = 442,484.28
  5. Step 5: Solve for x
    x = 442,484.28/654.86
  6. Step 6: Final answer
    x = 675.69

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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.